What are the solutions to the equation 4x^2-9x-2=0 ?

The solutions to the equation 4x^2-9x-2=0 are x=(9+sqrt(113))/8 ,x=(9-sqrt(113))/8

Find the zeros of 4x^2-9x-2=0

The zeros of 4x^2-9x-2=0 are x=(9+sqrt(113))/8 ,x=(9-sqrt(113))/8

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4 x^{2} - 9 x - 2 = 0

x = \frac{9 + 113}{8}, x = \frac{9 - 113}{8}

Solution steps

4 x^{2} - 9 x - 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 4 ( - 2 )}{2 \cdot 4}

(- 9)^{2} - 4 \cdot 4 (- 2) = 113

x_{1, 2} = \frac{- ( - 9 ) \pm 113}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 113}{2 \cdot 4}, x_{2} = \frac{- ( - 9 ) - 113}{2 \cdot 4}

x = \frac{- ( - 9 ) + 113}{2 \cdot 4} : \frac{9 + 113}{8}

x = \frac{- ( - 9 ) - 113}{2 \cdot 4} : \frac{9 - 113}{8}

The solutions to the quadratic equation are:

x = \frac{9 + 113}{8}, x = \frac{9 - 113}{8}

5 x^{3} + 40

\frac{( 2 x + 1 ) ( 3 - x )}{( x ^{2} + 6 x + 8 ) ( x ^{2} + 1 )} \leq 0

9 x^{4} - x = 40

\frac{( - 2 x y ) ^{3} ( 3 a b ^{2} ) ^{2} ( - a x ^{2} y ^{3} )}{( - 3 a b ^{2} ) ^{2} ( 2 x y ^{2} ) ^{3}}

(159) (0.64) (T - 277) = (260) (341 - T)

What are the solutions to the equation 4x^2-9x-2=0 ?
The solutions to the equation 4x^2-9x-2=0 are x=(9+sqrt(113))/8 ,x=(9-sqrt(113))/8
Find the zeros of 4x^2-9x-2=0
The zeros of 4x^2-9x-2=0 are x=(9+sqrt(113))/8 ,x=(9-sqrt(113))/8