What are the solutions to the equation 2x^2-7x+30=0 ?

The solutions to the equation 2x^2-7x+30=0 are x= 7/4+i(sqrt(191))/4 ,x= 7/4-i(sqrt(191))/4

Find the zeros of 2x^2-7x+30=0

The zeros of 2x^2-7x+30=0 are x= 7/4+i(sqrt(191))/4 ,x= 7/4-i(sqrt(191))/4

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2 x^{2} - 7 x + 30 = 0

x = \frac{7}{4} + i \frac{191}{4}, x = \frac{7}{4} - i \frac{191}{4}

Solution steps

2 x^{2} - 7 x + 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 2 \cdot 30}{2 \cdot 2}

Simplify

(- 7)^{2} - 4 \cdot 2 \cdot 30 : 191 i

x_{1, 2} = \frac{- ( - 7 ) \pm 191 i}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 191 i}{2 \cdot 2}, x_{2} = \frac{- ( - 7 ) - 191 i}{2 \cdot 2}

x = \frac{- ( - 7 ) + 191 i}{2 \cdot 2} : \frac{7}{4} + i \frac{191}{4}

x = \frac{- ( - 7 ) - 191 i}{2 \cdot 2} : \frac{7}{4} - i \frac{191}{4}

The solutions to the quadratic equation are:

x = \frac{7}{4} + i \frac{191}{4}, x = \frac{7}{4} - i \frac{191}{4}

2 s^{2} - 16 = - 88

x (4 x - 9) + 5 = 0

3 x^{2} - 12 x + 17

x^{2} - 3 x - 4 = 2 x

x, x + y = x^{2} - y^{2}

What are the solutions to the equation 2x^2-7x+30=0 ?
The solutions to the equation 2x^2-7x+30=0 are x= 7/4+i(sqrt(191))/4 ,x= 7/4-i(sqrt(191))/4
Find the zeros of 2x^2-7x+30=0
The zeros of 2x^2-7x+30=0 are x= 7/4+i(sqrt(191))/4 ,x= 7/4-i(sqrt(191))/4