What are the solutions to the equation 5x^2-3x-14=0 ?

The solutions to the equation 5x^2-3x-14=0 are x=2,x=-7/5

Find the zeros of 5x^2-3x-14=0

The zeros of 5x^2-3x-14=0 are x=2,x=-7/5

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5 x^{2} - 3 x - 14 = 0

x = 2, x = - \frac{7}{5}

Decimal Notation

x = 2, x = - 1.4

Solution steps

5 x^{2} - 3 x - 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 5 ( - 14 )}{2 \cdot 5}

(- 3)^{2} - 4 \cdot 5 (- 14) = 17

x_{1, 2} = \frac{- ( - 3 ) \pm 17}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 17}{2 \cdot 5}, x_{2} = \frac{- ( - 3 ) - 17}{2 \cdot 5}

x = \frac{- ( - 3 ) + 17}{2 \cdot 5} : 2

x = \frac{- ( - 3 ) - 17}{2 \cdot 5} : - \frac{7}{5}

The solutions to the quadratic equation are:

x = 2, x = - \frac{7}{5}

- x^{2} + 12 - 8 x = - 3

x^{3} + x - 10

3 x^{2} = 6 x - 9

\frac{y - x ( \frac{x}{y} )}{y ^{2}}

x^{3} + 16 x^{2} + 28 x

What are the solutions to the equation 5x^2-3x-14=0 ?
The solutions to the equation 5x^2-3x-14=0 are x=2,x=-7/5
Find the zeros of 5x^2-3x-14=0
The zeros of 5x^2-3x-14=0 are x=2,x=-7/5