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Chapter 9: Q. 9.53 (page 894)

Solve by using the Quadratic Formula:r2+10r+25=0

Short Answer

Expert verified

The solution of the quadratic equation is r=-5

Step by step solution

01

Given information

We are given the quadratic equationr2+10r+25=0

02

identify the values of a,b,c

On comparing with standard equation we geta=1,b=10,c=25

03

Write quadratic formula and substitute the values in it

The quadratic formula can be given as

r=-b卤b2-4ac2a

On substituting the values we get

r=-10卤100-4(1)(25)2

04

Simplify 

On simplifying we get

r=-10卤100-1002r=-102r=-5

05

Conclusion

The solution of the equation isr=-5

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Most popular questions from this chapter

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.

a9v2-15v+25=0b100w2+60w+9=0(c)5c2+7c-10=0

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In the following exercises, solve by using the Quadratic Formula.
(x+2)(x+6)=21

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