What are the solutions to the equation 8x-65=x^2 ?

The solutions to the equation 8x-65=x^2 are x=4+7i,x=4-7i

Find the zeros of 8x-65=x^2

The zeros of 8x-65=x^2 are x=4+7i,x=4-7i

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8 x - 65 = x^{2}

x = 4 + 7 i, x = 4 - 7 i

Solution steps

8 x - 65 = x^{2}

Switch sides

x^{2} = 8 x - 65

Move

65

to the left side

x^{2} + 65 = 8 x

Move

8 x

to the left side

x^{2} + 65 - 8 x = 0

Write in the standard form

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

x^{2} - 8 x + 65 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 1 \cdot 65}{2 \cdot 1}

Simplify

(- 8)^{2} - 4 \cdot 1 \cdot 65 : 14 i

x_{1, 2} = \frac{- ( - 8 ) \pm 14 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 14 i}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 14 i}{2 \cdot 1}

x = \frac{- ( - 8 ) + 14 i}{2 \cdot 1} : 4 + 7 i

x = \frac{- ( - 8 ) - 14 i}{2 \cdot 1} : 4 - 7 i

The solutions to the quadratic equation are:

x = 4 + 7 i, x = 4 - 7 i

t^{2} + 26 t

8 x^{2} + 33 x + 4 = 0

8 x^{2} - 7 x + 3 = 0

5 x^{2} + 30 x + 24 = 64

6 x^{2} - 25 x + 24 = 0

What are the solutions to the equation 8x-65=x^2 ?
The solutions to the equation 8x-65=x^2 are x=4+7i,x=4-7i
Find the zeros of 8x-65=x^2
The zeros of 8x-65=x^2 are x=4+7i,x=4-7i