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Chapter 6: Q. 427 (page 636)

Solve Quadratic Equations by Factoring in following exercises, solve.

x2+9x+20=0

Short Answer

Expert verified

The solutions of the given expression arex=-4and-5.

Step by step solution

01

Step 1. Given and explanation

We have x2+9x+20.

We will first simplify the equation by factorizing.

We will then every factor equal to zero according to the zero product property to find the values.

02

Step 2. Simplifying the equation by factorizing.

We have x2+9x+20.

We can write this as x2+4x+5x+20.

Simplifying it,

=x2+4x+5x+20=x(x+4)+5(x+4)=(x+4)(x+5)

03

Step 3. Finding values.

We now have (x+4)(x+5)=0.

Putting each factor equal to zero gives us,

  1. x+4=0x=-4
  2. x+5=0x=-5

This shows that values are-4and-5.

04

Step 4. Check the solution.

We will check the solution by putting the value of the solution in the equation separately. If the equation satisfies, our answer is right.

  1. When x=-4
    (-4)2+9(-4)+20=016-36+20=036-36=00=0
    Hence satisfied.
  2. When x=-5
    (-5)2+9(-5)+20=025-45+20=045-45=00=0
    Hence satisfied.

Thus our calculations are right.

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