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Chapter 10: Q 10.39 (page 1174)

Solvey2-10y=-35.

Short Answer

Expert verified

The equation has no real solutions.

Step by step solution

01

Given Information  

The Given equation isy2-10y=-35.

02

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

The variable terms are on the left side.

y2-10y=-35

Here,b=-10

03

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

=12(-10)2=-52=25

Add 25both sides.

y2-10y+25=-35+25y2-10y+25=-10

04

Factor the perfect square trinomial as a binomial square.  

(y-5)2=-10

Use the square root property.

y-5=卤-10

Since, -10is not a real number.

Thus, the equation has no real solutions.

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