What are the solutions to the equation 4u^2+5u=-180 ?

The solutions to the equation 4u^2+5u=-180 are u=-5/8+i(sqrt(2855))/8 ,u=-5/8-i(sqrt(2855))/8

Find the zeros of 4u^2+5u=-180

The zeros of 4u^2+5u=-180 are u=-5/8+i(sqrt(2855))/8 ,u=-5/8-i(sqrt(2855))/8

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4 u^{2} + 5 u = - 180

u = - \frac{5}{8} + i \frac{2855}{8}, u = - \frac{5}{8} - i \frac{2855}{8}

Solution steps

4 u^{2} + 5 u = - 180

Move

180

to the left side

4 u^{2} + 5 u + 180 = 0

Solve with the quadratic formula

u_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 4 \cdot 180}{2 \cdot 4}

Simplify

5^{2} - 4 \cdot 4 \cdot 180 : 2855 i

u_{1, 2} = \frac{- 5 \pm 2855 i}{2 \cdot 4}

Separate the solutions

u_{1} = \frac{- 5 + 2855 i}{2 \cdot 4}, u_{2} = \frac{- 5 - 2855 i}{2 \cdot 4}

u = \frac{- 5 + 2855 i}{2 \cdot 4} : - \frac{5}{8} + i \frac{2855}{8}

u = \frac{- 5 - 2855 i}{2 \cdot 4} : - \frac{5}{8} - i \frac{2855}{8}

The solutions to the quadratic equation are:

u = - \frac{5}{8} + i \frac{2855}{8}, u = - \frac{5}{8} - i \frac{2855}{8}

x, (x + 8) (4 x - 7) = 0

8 x^{2} - 18 - 9 = 0

8^{2} + b^{2} = 1 2^{2}

4 x^{2} + 27 x = 7

h^{2} - 9 = 0

What are the solutions to the equation 4u^2+5u=-180 ?
The solutions to the equation 4u^2+5u=-180 are u=-5/8+i(sqrt(2855))/8 ,u=-5/8-i(sqrt(2855))/8
Find the zeros of 4u^2+5u=-180
The zeros of 4u^2+5u=-180 are u=-5/8+i(sqrt(2855))/8 ,u=-5/8-i(sqrt(2855))/8