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Chapter 10: Q 80 (page 1181)

Solve the equation by completing square method.

t2-14t=-50

Short Answer

Expert verified

The equation has no real solutions.

Step by step solution

01

Given Information  

The Given equation is t2-14t=-50.

02

Isolate the variable terms on one side and the constant terms on the other. 

The variable terms are on the left side.

t2-14t=-50

Here,b=-14

03

Find 12b2 and add to the both sides of equation.  

=12(-14)2=-72=49

Add 49both sides.

t2-14t+49=-50+49t2-14t+49=-1

04

Factor the perfect square trinomial as a binomial square.  

(t-7)2=-1

Use the square root property.

t-7=卤-1

Since -1is not a real number.

Thus, the equation has no real solutions.

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