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Chapter 10: Q 252. (page 1236)

In the following exercises, solve by completing the square.

t2-12t=-40

Short Answer

Expert verified

The given equation has no solution.

Step by step solution

01

Given information. 

Given equation t2-12t=-40

02

Make the perfect square.

Add 36 to both sides of the equation.

t2-12t+36=-40+36t2-12t+36=-4

Writing it as a binomial square.

t2-2脳t脳6+62=-4(t-6)2=-4

03

Use the square root property. 

t-6=卤-4

Because the square root of a negative number is not real, So there is no real solution to the given equation.

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