What are the solutions to the equation 4w^2+3w-6=0 ?

The solutions to the equation 4w^2+3w-6=0 are w=(-3+sqrt(105))/8 ,w=(-3-sqrt(105))/8

Find the zeros of 4w^2+3w-6=0

The zeros of 4w^2+3w-6=0 are w=(-3+sqrt(105))/8 ,w=(-3-sqrt(105))/8

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4 w^{2} + 3 w - 6 = 0

w = \frac{- 3 + 105}{8}, w = \frac{- 3 - 105}{8}

Decimal Notation

w = 0.90586 \dots, w = - 1.65586 \dots

Solution steps

4 w^{2} + 3 w - 6 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 4 ( - 6 )}{2 \cdot 4}

3^{2} - 4 \cdot 4 (- 6) = 105

w_{1, 2} = \frac{- 3 \pm 105}{2 \cdot 4}

Separate the solutions

w_{1} = \frac{- 3 + 105}{2 \cdot 4}, w_{2} = \frac{- 3 - 105}{2 \cdot 4}

w = \frac{- 3 + 105}{2 \cdot 4} : \frac{- 3 + 105}{8}

w = \frac{- 3 - 105}{2 \cdot 4} : \frac{- 3 - 105}{8}

The solutions to the quadratic equation are:

w = \frac{- 3 + 105}{8}, w = \frac{- 3 - 105}{8}

10 x^{2} - 29 x + 10 = 0

4 x^{2} + 16 x + 64

4 (x - 1) (x + 5) \leq 0

\frac{1}{2 ( 8.1 )}

\frac{3 x ^{2} y ^{2}}{9 x ^{8} y ^{8}}

What are the solutions to the equation 4w^2+3w-6=0 ?
The solutions to the equation 4w^2+3w-6=0 are w=(-3+sqrt(105))/8 ,w=(-3-sqrt(105))/8
Find the zeros of 4w^2+3w-6=0
The zeros of 4w^2+3w-6=0 are w=(-3+sqrt(105))/8 ,w=(-3-sqrt(105))/8