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Chapter 9: Q. 125 (page 898)

In the following exercises, solve by using the Quadratic Formula.
x2+8x-4=0

Short Answer

Expert verified

The solutions of the given equation are x=-4卤25.

Step by step solution

01

Step 1. Given information.

The given equation is:

x2+8x-4=0

02

Step 2. Substitute the values in Quadratic Formula.

Quadratic Formula for the equation ax2+bx+c=0is:

x=-b卤b2-4ac2a

In the given equation, a=1,b=8,c=-4. Substitute these values in Quadratic Formula.

x=-8卤82-4(1)(-4)2(1)

03

Step 3. Simplify the value.

On simplification, we get

x=-8卤64+162x=-8卤802x=-82卤452x=-4卤25

04

Step 4. Conclusion.

The solutions of the given equation are x=-4卤25.

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