What are the solutions to the equation (X+6)(X-6)=13 ?

The solutions to the equation (X+6)(X-6)=13 are X=7,X=-7

Find the zeros of (X+6)(X-6)=13

The zeros of (X+6)(X-6)=13 are X=7,X=-7

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(X + 6) (X - 6) = 13

X = 7, X = - 7

Solution steps

(X + 6) (X - 6) = 13

Expand

(X + 6) (X - 6) : X^{2} - 36

X^{2} - 36 = 13

Move

13

to the left side

X^{2} - 49 = 0

Solve with the quadratic formula

X_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 \cdot 1 \cdot ( - 49 )}{2 \cdot 1}

0^{2} - 4 \cdot 1 \cdot (- 49) = 14

X_{1, 2} = \frac{- 0 \pm 14}{2 \cdot 1}

Separate the solutions

X_{1} = \frac{- 0 + 14}{2 \cdot 1}, X_{2} = \frac{- 0 - 14}{2 \cdot 1}

X = \frac{- 0 + 14}{2 \cdot 1} : 7

X = \frac{- 0 - 14}{2 \cdot 1} : - 7

The solutions to the quadratic equation are:

X = 7, X = - 7

x^{2} + 17 x + 12 = 0

23 x = - 15 x^{2} - 6

x^{2} - 16 x + 40 = 0

324 + x^{2} = 0

2 x^{2} - 5 = - 3

What are the solutions to the equation (X+6)(X-6)=13 ?
The solutions to the equation (X+6)(X-6)=13 are X=7,X=-7
Find the zeros of (X+6)(X-6)=13
The zeros of (X+6)(X-6)=13 are X=7,X=-7