Question

Whats the answer of (X+9)^2=25?

Answer 1

There are two answers and they are x = -4 and x = -14

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Step-by-step explanation:

Apply the square root to both sides

(x+9)^2 = 25 leads to x+9 = 5 or x+9 = -5

This is because (-5)^2 = 25 and (5)^2 = 25. This is the plus/minus you often see with quadratics.

Solve x+9 = 5 to get x = -4. We subtract 9 from both sides to get this.

Solve x+9 = -5 to get x = -14

That's why the two answers are x = -4 and x = -14.

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To check our answers, we plug those x values into the original equation and simplify. We should get the same thing on both sides

(x+9)^2 = 25

(-4+9)^2 = 25 ... replace x with -4

(5)^2 = 25

25 = 25 ... So x = -4 has been confirmed

and,

(x+9)^2 = 25

(-14+9)^2 = 25 ... replace x with -14

(-5)^2 = 25

25 = 25 ... and x = -14 has been confirmed

Answer 2

x=-4,x= -14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x2+18x+81=25

Step 2: Subtract 25 from both sides.

x2+18x+81−25=25−25

x2+18x+56=0

Step 3: Factor left side of equation.

(x+4)(x+14)=0

Step 4: Set factors equal to 0.

x+4=0 or x+14=0

x=−4 or x=−14