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Chapter 9: Q.119 (page 898)

In the following exercises, solve by using the Quadratic Formula:r2-8r=33

Short Answer

Expert verified

The solution of the quadratic equation is andr=11;r=-3

Step by step solution

01

Given information

We are given a quadratic equationr2-8r=33

02

Add -33 on both sides and then identify the values of a,b,c

On adding -33on both sides we get

r2+8r-33=0

On comparing with standard equation we get,a=1,b=8,c=-33

03

Write the 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=-8卤64-4(1)(-33)2(1)

04

Simplify

On simplifying we get

r=8卤64+1322r=8卤1962r=8卤142

On further simplifying we get

r=8+142r=222r=11andr=8-142r=-62r=-3

05

Conclusion

The solution of the quadratic equation is r=-3andr=11

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