What are the solutions to the equation x^2-4x+130=14x ?

The solutions to the equation x^2-4x+130=14x are x=9+7i,x=9-7i

Find the zeros of x^2-4x+130=14x

The zeros of x^2-4x+130=14x are x=9+7i,x=9-7i

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x^{2} - 4 x + 130 = 14 x

x = 9 + 7 i, x = 9 - 7 i

Solution steps

x^{2} - 4 x + 130 = 14 x

Move

14 x

to the left side

x^{2} - 18 x + 130 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot 130}{2 \cdot 1}

Simplify

(- 18)^{2} - 4 \cdot 1 \cdot 130 : 14 i

x_{1, 2} = \frac{- ( - 18 ) \pm 14 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 18 ) + 14 i}{2 \cdot 1}, x_{2} = \frac{- ( - 18 ) - 14 i}{2 \cdot 1}

x = \frac{- ( - 18 ) + 14 i}{2 \cdot 1} : 9 + 7 i

x = \frac{- ( - 18 ) - 14 i}{2 \cdot 1} : 9 - 7 i

The solutions to the quadratic equation are:

x = 9 + 7 i, x = 9 - 7 i

p^{2} - 196 = 0

v^{2} = - 5 v - 4

x, f^{- 1} (x) = x^{2} + 1

x, f^{- 1} (x) = x^{2} - 2

8 x^{2} - 24 x + 10 = 0

What are the solutions to the equation x^2-4x+130=14x ?
The solutions to the equation x^2-4x+130=14x are x=9+7i,x=9-7i
Find the zeros of x^2-4x+130=14x
The zeros of x^2-4x+130=14x are x=9+7i,x=9-7i