What are the solutions to the equation x^2-14x=-55 ?

The solutions to the equation x^2-14x=-55 are x=7+sqrt(6)i,x=7-sqrt(6)i

Find the zeros of x^2-14x=-55

The zeros of x^2-14x=-55 are x=7+sqrt(6)i,x=7-sqrt(6)i

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x^{2} - 14 x = - 55

x = 7 + 6 i, x = 7 - 6 i

Solution steps

x^{2} - 14 x = - 55

Move

55

to the left side

x^{2} - 14 x + 55 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 1 \cdot 55}{2 \cdot 1}

Simplify

(- 14)^{2} - 4 \cdot 1 \cdot 55 : 26 i

x_{1, 2} = \frac{- ( - 14 ) \pm 2 6 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 2 6 i}{2 \cdot 1}, x_{2} = \frac{- ( - 14 ) - 2 6 i}{2 \cdot 1}

x = \frac{- ( - 14 ) + 2 6 i}{2 \cdot 1} : 7 + 6 i

x = \frac{- ( - 14 ) - 2 6 i}{2 \cdot 1} : 7 - 6 i

The solutions to the quadratic equation are:

x = 7 + 6 i, x = 7 - 6 i

13 x^{2} - 26 x + 12 = 0

12 x^{2} = 23

y, x^{2} + y^{2} - 8 y + 10 y + 30 = 0

y, x^{2} + y^{2} - 2 x + y + 6 = 0

x (2 x - 11) = 12

What are the solutions to the equation x^2-14x=-55 ?
The solutions to the equation x^2-14x=-55 are x=7+sqrt(6)i,x=7-sqrt(6)i
Find the zeros of x^2-14x=-55
The zeros of x^2-14x=-55 are x=7+sqrt(6)i,x=7-sqrt(6)i