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Reviewer: Quadratic Equations

I. Multiple Choice: Choose the letter of the correct answer. Show your solution.

1. What are the values of x that satisfy the equation 3 – 27x2 = 0? A. x = [pic]3B. x = [pic]C. x = [pic]D. x = [pic] 2. What are the solutions of the equation 6x2 + 9x – 15 = 0? A. 1, - 15B. 1, [pic]C. – 1, - 5D. 3, [pic]

3. For which equation is – 3 NOT a solution?
A. x2 – 2x – 15 = 0C. 2x2 + 12x = - 18
B. x2 – 21 = 4xD. 9 + x2 = 0

4. What are the solutions of the equation (2x – 7)2 = 25? A. 6, - 6B. 6, 1C. 6, -1D. – 6, - 1

5. Find the sum of the solutions to the equation x2 + 2x – 15 = 0. A. 8B. – 8C. 2D. – 2

6. Find the product of the solutions to the equation x2 – 8x = 9. A. 6B. – 6C. 9D. – 9
7. Which equation has [pic]as a solution?
A. (2x – 5)(x + 1) = 0C. (5x + 2)(x + 1) = 0
B. 5x – 2)(x + 1)D. (2x + 5)(x + 1)

8. The equation x2 – 3x + a = 0 has two roots. One root of the equation is 2. What is the other root? A. – 2B. – 1C. 1D. 3

9. What is the quadratic equation determine by the roots 3 and – 4 ? A. x2 + x – 12 = 0C. x2 + x + 12 = 0
B. x2 – x – 12 = 0D. x2 – x + 12 = 0

10. One solution to the equation x2 + bx – 20 = 0 is 5. What is the other solution? A. 4B. – 4C. [pic]D. [pic]
11. What can you add to x2 + 5x to get a perfect square trinomial? A. [pic]B. [pic]C. 2.5D. 25
12. How can you rewrite the equation x2 + 12x + 5 = 3 so the left side of the equation is in the form (x + a)2? A. (x – 6)2 = 28B. (x + 6)2 = 39C. (x + 6)2 = 34D. ( x + 12)2 = - 2

13. How many real solutions does x2 – 10x + 25 = 0 have?? A. No solutionsB. One solutionC. Two solutionsD. Many...

...variety of purposes such as prioritization of traffic, maximizing bandwidth utilization or to prevent network congestions and bottlenecks. LSP routes are most popularly used to create Virtual Private Networks (VPN).
The main thing to keep in mind about MPLS is that it’s a networking technique and not a service. Being that MPLS is a packet switching networking technique that makes its entire packet forwarding decisions based on the label and removing the need to examine the...

...329
QuadraticEquations
Chapter-15
QuadraticEquations
Important Definitions and Related Concepts
1. QuadraticEquation
If p(x) is a quadratic polynomial, then p(x) = 0 is called
a quadraticequation. The general formula of a quadraticequation is ax 2 + bx + c = 0; where a, b, c are real
numbers and a 0. For example, x2 – 6x + 4 = 0 is...

...QUADRATICEQUATIONSQuadraticequations Any equation of the form ax2 + bx + c=0, where a,b,c are real numbers, a 0 is a quadraticequation.
For example, 2x2 -3x+1=0 is quadraticequation in variable x.
SOLVING A QUADRATICEQUATION
1.Factorisation
A real number a is said to be a root of the quadratic...

...QuadraticEquation:
Quadraticequations have many applications in the arts and sciences, business, economics, medicine and engineering. QuadraticEquation is a second-order polynomial equation in a single variable x.
A general quadraticequation is:
ax2 + bx + c = 0,
Where,
x is an unknown variable
a, b, and c are constants (Not equal to zero)
Special...

...Quadraticequation
In elementary algebra, a quadraticequation (from the Latin quadratus for "square") is any equation having the form
where x represents an unknown, and a, b, and c represent known numbers such that a is not equal to 0. If a = 0, then the equation is linear, not quadratic. The numbers a, b, and c are the coefficients of the...

...While the ultimate goal is the same, to determine the value(s) that hold true for the equation, solving quadraticequations requires much more than simply isolating the variable, as is required in solving linear equations. This piece will outline the different types of quadraticequations, strategies for solving each type, as well as other methods of solutions such as Completing the Square and using the...

...QuadraticEquationsEquationsQuadratic
MODULE - I
Algebra
2
Notes
QUADRATICEQUATIONS
Recall that an algebraic equation of the second degree is written in general form as
ax 2 + bx + c = 0, a ≠ 0
It is called a quadraticequation in x. The coefficient ‘a’ is the first or leading coefficient, ‘b’
is the second or middle coefficient and ‘c’ is the...

...Section 2.1
Linear and Quadratic Functions and Modeling
67
Chapter 2 Polynomial, Power, and Rational Functions
■ Section 2.1 Linear and Quadratic Functions and Modeling
Exploration 1
1. –$2000 per year 2. The equation will have the form v(t)=mt+b. The value of the building after 0 year is v(0)=m(0)+b=b=50,000. The slope m is the rate of change, which is –2000 (dollars per year). So an equation for the value of the building...

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