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Chapter 9: Q.118 (page 898)

In the following exercises, solve by using the Quadratic Formula:q2+3q-18=0

Short Answer

Expert verified

The solution of the quadratic equation isq=3andq=-6

Step by step solution

01

Given information

We are given a quadratic equationq2+3q-18=0

02

Identify the values of a,b,c

On comparing with standard equation we geta=1,b=3,c=-18

03

Write the quadratic formula and substitute the values in it

The quadratic formula can be given as

q=-b卤b2-4ac2a

On substituting the values we get

q=-3卤9-4(1)(-18)2(1)

04

Simplify

On simplifying we get

q=-3卤9+722q=-3卤812q=-3卤92

On further simplifying we get

q=-3+92q=62q=3andq=-3-92q=-122q=-6

05

Conclusion

The solution of the quadratic equation isq=3andq=-6

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