What are the solutions to the equation 4x^2+6x+15=0 ?

The solutions to the equation 4x^2+6x+15=0 are x=-3/4+i(sqrt(51))/4 ,x=-3/4-i(sqrt(51))/4

Find the zeros of 4x^2+6x+15=0

The zeros of 4x^2+6x+15=0 are x=-3/4+i(sqrt(51))/4 ,x=-3/4-i(sqrt(51))/4

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4 x^{2} + 6 x + 15 = 0

x = - \frac{3}{4} + i \frac{51}{4}, x = - \frac{3}{4} - i \frac{51}{4}

Solution steps

4 x^{2} + 6 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 4 \cdot 15}{2 \cdot 4}

Simplify

6^{2} - 4 \cdot 4 \cdot 15 : 251 i

x_{1, 2} = \frac{- 6 \pm 2 51 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 6 + 2 51 i}{2 \cdot 4}, x_{2} = \frac{- 6 - 2 51 i}{2 \cdot 4}

x = \frac{- 6 + 2 51 i}{2 \cdot 4} : - \frac{3}{4} + i \frac{51}{4}

x = \frac{- 6 - 2 51 i}{2 \cdot 4} : - \frac{3}{4} - i \frac{51}{4}

The solutions to the quadratic equation are:

x = - \frac{3}{4} + i \frac{51}{4}, x = - \frac{3}{4} - i \frac{51}{4}

3 x^{2} - 1 = 2 x

(1.16 \cdot 1 0^{2}) \cdot (0.8571 - x) (0.5714 - x) - 2 x^{2} = 0

2 y^{(2)} - 9 y + 1 = 0

8.5076 x^{2} + (- 452.881) x + 4293.054 = 0

4 a^{2} - 10 a - 24 = 0

What are the solutions to the equation 4x^2+6x+15=0 ?
The solutions to the equation 4x^2+6x+15=0 are x=-3/4+i(sqrt(51))/4 ,x=-3/4-i(sqrt(51))/4
Find the zeros of 4x^2+6x+15=0
The zeros of 4x^2+6x+15=0 are x=-3/4+i(sqrt(51))/4 ,x=-3/4-i(sqrt(51))/4