What are the solutions to the equation 4x^2+5x=-10 ?

The solutions to the equation 4x^2+5x=-10 are x=-5/8+i(3sqrt(15))/8 ,x=-5/8-i(3sqrt(15))/8

Find the zeros of 4x^2+5x=-10

The zeros of 4x^2+5x=-10 are x=-5/8+i(3sqrt(15))/8 ,x=-5/8-i(3sqrt(15))/8

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4 x^{2} + 5 x = - 10

x = - \frac{5}{8} + i \frac{3 15}{8}, x = - \frac{5}{8} - i \frac{3 15}{8}

Solution steps

4 x^{2} + 5 x = - 10

Move

10

to the left side

4 x^{2} + 5 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 4 \cdot 10}{2 \cdot 4}

Simplify

5^{2} - 4 \cdot 4 \cdot 10 : 315 i

x_{1, 2} = \frac{- 5 \pm 3 15 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 5 + 3 15 i}{2 \cdot 4}, x_{2} = \frac{- 5 - 3 15 i}{2 \cdot 4}

x = \frac{- 5 + 3 15 i}{2 \cdot 4} : - \frac{5}{8} + i \frac{3 15}{8}

x = \frac{- 5 - 3 15 i}{2 \cdot 4} : - \frac{5}{8} - i \frac{3 15}{8}

The solutions to the quadratic equation are:

x = - \frac{5}{8} + i \frac{3 15}{8}, x = - \frac{5}{8} - i \frac{3 15}{8}

2 x^{2} - 9 x + 4 = 0

(x^{2} + 2 x - 2) = 0

x, \frac{z ^{2}}{2} - \frac{x ^{2}}{3} - y^{2} = 0

x (x + 13) = 420

4 x^{2} + 11 = 12

What are the solutions to the equation 4x^2+5x=-10 ?
The solutions to the equation 4x^2+5x=-10 are x=-5/8+i(3sqrt(15))/8 ,x=-5/8-i(3sqrt(15))/8
Find the zeros of 4x^2+5x=-10
The zeros of 4x^2+5x=-10 are x=-5/8+i(3sqrt(15))/8 ,x=-5/8-i(3sqrt(15))/8