What are the solutions to the equation 5x^2-50x=-135 ?

The solutions to the equation 5x^2-50x=-135 are x=5+sqrt(2)i,x=5-sqrt(2)i

Find the zeros of 5x^2-50x=-135

The zeros of 5x^2-50x=-135 are x=5+sqrt(2)i,x=5-sqrt(2)i

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5 x^{2} - 50 x = - 135

x = 5 + 2 i, x = 5 - 2 i

Solution steps

5 x^{2} - 50 x = - 135

Move

135

to the left side

5 x^{2} - 50 x + 135 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 \cdot 5 \cdot 135}{2 \cdot 5}

Simplify

(- 50)^{2} - 4 \cdot 5 \cdot 135 : 102 i

x_{1, 2} = \frac{- ( - 50 ) \pm 10 2 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 50 ) + 10 2 i}{2 \cdot 5}, x_{2} = \frac{- ( - 50 ) - 10 2 i}{2 \cdot 5}

x = \frac{- ( - 50 ) + 10 2 i}{2 \cdot 5} : 5 + 2 i

x = \frac{- ( - 50 ) - 10 2 i}{2 \cdot 5} : 5 - 2 i

The solutions to the quadratic equation are:

x = 5 + 2 i, x = 5 - 2 i

x^{2} - 52 x + 12 = 0

3 p^{2} - 7 p - 1 = 0

x, x^{2} - 1 = 0

(x + \frac{1}{3})^{2} = \frac{1}{9}

10 x^{2} - 9 x + 6 = 0

What are the solutions to the equation 5x^2-50x=-135 ?
The solutions to the equation 5x^2-50x=-135 are x=5+sqrt(2)i,x=5-sqrt(2)i
Find the zeros of 5x^2-50x=-135
The zeros of 5x^2-50x=-135 are x=5+sqrt(2)i,x=5-sqrt(2)i