What are the solutions to the equation 5x^2+3x=92 ?

The solutions to the equation 5x^2+3x=92 are x=4,x=-23/5

Find the zeros of 5x^2+3x=92

The zeros of 5x^2+3x=92 are x=4,x=-23/5

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5 x^{2} + 3 x = 92

x = 4, x = - \frac{23}{5}

Solution steps

5 x^{2} + 3 x = 92

Move

92

to the left side

5 x^{2} + 3 x - 92 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 5 ( - 92 )}{2 \cdot 5}

3^{2} - 4 \cdot 5 (- 92) = 43

x_{1, 2} = \frac{- 3 \pm 43}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 3 + 43}{2 \cdot 5}, x_{2} = \frac{- 3 - 43}{2 \cdot 5}

x = \frac{- 3 + 43}{2 \cdot 5} : 4

x = \frac{- 3 - 43}{2 \cdot 5} : - \frac{23}{5}

The solutions to the quadratic equation are:

x = 4, x = - \frac{23}{5}

(- 2 h^{5}) (4 h^{- 3})

\frac{( \frac{\frac{a}{b}}{\frac{c}{d}} )}{\frac{e}{f}}

(- 243 x^{- 15})^{\frac{1}{5}}

5^{- 1}

\frac{a ^{1}}{2}

What are the solutions to the equation 5x^2+3x=92 ?
The solutions to the equation 5x^2+3x=92 are x=4,x=-23/5
Find the zeros of 5x^2+3x=92
The zeros of 5x^2+3x=92 are x=4,x=-23/5