What are the solutions to the equation 4x^2-56x+268=0 ?

The solutions to the equation 4x^2-56x+268=0 are x=7+3sqrt(2)i,x=7-3sqrt(2)i

Find the zeros of 4x^2-56x+268=0

The zeros of 4x^2-56x+268=0 are x=7+3sqrt(2)i,x=7-3sqrt(2)i

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4 x^{2} - 56 x + 268 = 0

x = 7 + 32 i, x = 7 - 32 i

Solution steps

4 x^{2} - 56 x + 268 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 56 ) \pm ( - 56 ) ^{2} - 4 \cdot 4 \cdot 268}{2 \cdot 4}

Simplify

(- 56)^{2} - 4 \cdot 4 \cdot 268 : 242 i

x_{1, 2} = \frac{- ( - 56 ) \pm 24 2 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 56 ) + 24 2 i}{2 \cdot 4}, x_{2} = \frac{- ( - 56 ) - 24 2 i}{2 \cdot 4}

x = \frac{- ( - 56 ) + 24 2 i}{2 \cdot 4} : 7 + 32 i

x = \frac{- ( - 56 ) - 24 2 i}{2 \cdot 4} : 7 - 32 i

The solutions to the quadratic equation are:

x = 7 + 32 i, x = 7 - 32 i

65 = \frac{3}{4} x - 7

\frac{1}{6} + \frac{1}{4}

0.59 = - 0.2746 x^{2} + 1.0052 x + 0.2694

54 \cdot 2

(274 4^{2})^{\frac{1}{3}}

What are the solutions to the equation 4x^2-56x+268=0 ?
The solutions to the equation 4x^2-56x+268=0 are x=7+3sqrt(2)i,x=7-3sqrt(2)i
Find the zeros of 4x^2-56x+268=0
The zeros of 4x^2-56x+268=0 are x=7+3sqrt(2)i,x=7-3sqrt(2)i