What are the solutions to the equation 6w^2-7w-3=0 ?

The solutions to the equation 6w^2-7w-3=0 are w= 3/2 ,w=-1/3

Find the zeros of 6w^2-7w-3=0

The zeros of 6w^2-7w-3=0 are w= 3/2 ,w=-1/3

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6 w^{2} - 7 w - 3 = 0

w = \frac{3}{2}, w = - \frac{1}{3}

Decimal Notation

w = 1.5, w = - 0.33333 \dots

Solution steps

6 w^{2} - 7 w - 3 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 6 ( - 3 )}{2 \cdot 6}

(- 7)^{2} - 4 \cdot 6 (- 3) = 11

w_{1, 2} = \frac{- ( - 7 ) \pm 11}{2 \cdot 6}

Separate the solutions

w_{1} = \frac{- ( - 7 ) + 11}{2 \cdot 6}, w_{2} = \frac{- ( - 7 ) - 11}{2 \cdot 6}

w = \frac{- ( - 7 ) + 11}{2 \cdot 6} : \frac{3}{2}

w = \frac{- ( - 7 ) - 11}{2 \cdot 6} : - \frac{1}{3}

The solutions to the quadratic equation are:

w = \frac{3}{2}, w = - \frac{1}{3}

2 w^{2} - 12 w + 18 = 0

x^{2} + 8 x + 15 = 0

y, x^{2} + y^{2} + 1 = 0

3 x^{2} + 2 x + 1

2 (x - 3)^{2} + 19 = 37

What are the solutions to the equation 6w^2-7w-3=0 ?
The solutions to the equation 6w^2-7w-3=0 are w= 3/2 ,w=-1/3
Find the zeros of 6w^2-7w-3=0
The zeros of 6w^2-7w-3=0 are w= 3/2 ,w=-1/3