What are the solutions to the equation x^2-6x=13 ?

The solutions to the equation x^2-6x=13 are x=3+sqrt(22),x=3-sqrt(22)

Find the zeros of x^2-6x=13

The zeros of x^2-6x=13 are x=3+sqrt(22),x=3-sqrt(22)

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x^{2} - 6 x = 13

x = 3 + 22, x = 3 - 22

Solution steps

x^{2} - 6 x = 13

Move

13

to the left side

x^{2} - 6 x - 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 13 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 13) = 222

x_{1, 2} = \frac{- ( - 6 ) \pm 2 22}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 2 22}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 2 22}{2 \cdot 1}

x = \frac{- ( - 6 ) + 2 22}{2 \cdot 1} : 3 + 22

x = \frac{- ( - 6 ) - 2 22}{2 \cdot 1} : 3 - 22

The solutions to the quadratic equation are:

x = 3 + 22, x = 3 - 22

\frac{j - 91}{- 4} = - 2

16 m^{6} - n^{6}

(x - a)^{2} + 5 (a - x)

3 x^{2} + 1 = 5 x

(x + 2)^{2} = x^{2} + 4

What are the solutions to the equation x^2-6x=13 ?
The solutions to the equation x^2-6x=13 are x=3+sqrt(22),x=3-sqrt(22)
Find the zeros of x^2-6x=13
The zeros of x^2-6x=13 are x=3+sqrt(22),x=3-sqrt(22)