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Chapter 6: Q 290 (page 627)

In the following exercises, solve:

625=x2

Short Answer

Expert verified

On solving the equation, we getx=25,-25.

Step by step solution

01

Step 1. Given information.

Consider the given equation,

625=x2

Write the quadratic equation in standard form,

625-x2=0

02

Step 2. Factor the quadratic expression.

On factoring, we get,

x2-252=0x-25x+25=0

Use the zero product property,

x-25=0x=25

Then,

x+25=0x=-25

03

Step 3. Check the answers.

Substitute x=25in the given equation,

625=252625=625

This is true.

Substitute x=-25in the given equation,

625=-252625=625

This is also true.

Hence, the answer isx=25,-25.

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