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

The solutions to the equation x^2-6x=-13 are x=3+2i,x=3-2i

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

The zeros of x^2-6x=-13 are x=3+2i,x=3-2i

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x^{2} - 6 x = - 13

x = 3 + 2 i, x = 3 - 2 i

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}

Simplify

(- 6)^{2} - 4 \cdot 1 \cdot 13 : 4 i

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

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 4 i}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 4 i}{2 \cdot 1}

x = \frac{- ( - 6 ) + 4 i}{2 \cdot 1} : 3 + 2 i

x = \frac{- ( - 6 ) - 4 i}{2 \cdot 1} : 3 - 2 i

The solutions to the quadratic equation are:

x = 3 + 2 i, x = 3 - 2 i

x^{2} - \frac{1}{5} x + \frac{1}{y}

- 2 (- 5 n + 6) + 5 (2 - 7 n)

(- \frac{2 x ^{\frac{1}{6}}}{3 y ^{4}})^{- 3}

3 x^{2} + 4 = 40

(3 x - 8) (x - 7) = 0

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