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Chapter 9: Q. 89 E (page 885)

Solve quadratic equations of the form x2+bx+c=0by completing the square.

In the following exercises , solve by completing the square.

r2-4r-3=9

Short Answer

Expert verified

The required value of r is6,-2

Step by step solution

01

Given information

r2-4r-3=9

02

Calculation

r2-4r-3=9鈬�r2-4r=9+3鈬�r2-4r=12鈬�r2-4r+(12脳(-4))2=12 鈬�r2-4r+4=12+4鈬�(r-2)2=16 鈬�r-2=卤16鈬�r=2卤4=2+4,2-4=6,-2

The required value ofris6,-2

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Most popular questions from this chapter

In the following exercises, solve by using the Quadratic Formula.
25q2+30q+9=0

Use the Discriminant to Predict the Number of Solutions of a Quadratic Equation.

In the following exercises, determine the number of solutions for each quadratic equation.

(a) 4x2-5x+16=0

(b) localid="1645008653364" 36y2+36y+9=0

(c)localid="1644933436194" 6m2+3m-5=0

In the following exercises, solve by completing the square.

u2+2u=3

Solve :- (y-4)2+8(y-4)+15=0

In the following exercises, solve by using the Quadratic Formula.
34b2+12b=38
See all solutions

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