What are the solutions to the equation x^2+61=8x ?

The solutions to the equation x^2+61=8x are x=4+3sqrt(5)i,x=4-3sqrt(5)i

Find the zeros of x^2+61=8x

The zeros of x^2+61=8x are x=4+3sqrt(5)i,x=4-3sqrt(5)i

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x^{2} + 61 = 8 x

x = 4 + 35 i, x = 4 - 35 i

Solution steps

x^{2} + 61 = 8 x

Move

8 x

to the left side

x^{2} + 61 - 8 x = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - 8 x + 61 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 1 \cdot 61}{2 \cdot 1}

Simplify

(- 8)^{2} - 4 \cdot 1 \cdot 61 : 65 i

x_{1, 2} = \frac{- ( - 8 ) \pm 6 5 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 6 5 i}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 6 5 i}{2 \cdot 1}

x = \frac{- ( - 8 ) + 6 5 i}{2 \cdot 1} : 4 + 35 i

x = \frac{- ( - 8 ) - 6 5 i}{2 \cdot 1} : 4 - 35 i

The solutions to the quadratic equation are:

x = 4 + 35 i, x = 4 - 35 i

x^{2} + x - 2

x^{2} - 6 x + 13

- 7 f^{2} + 11 f + 9 = 4 - 3 f

4 x^{2} + 61 = 36 x

x, 3 x^{2} + 2 x - 4 = 0

What are the solutions to the equation x^2+61=8x ?
The solutions to the equation x^2+61=8x are x=4+3sqrt(5)i,x=4-3sqrt(5)i
Find the zeros of x^2+61=8x
The zeros of x^2+61=8x are x=4+3sqrt(5)i,x=4-3sqrt(5)i