What are the solutions to the equation 12w^2-13w+3=0 ?

The solutions to the equation 12w^2-13w+3=0 are w= 3/4 ,w= 1/3

Find the zeros of 12w^2-13w+3=0

The zeros of 12w^2-13w+3=0 are w= 3/4 ,w= 1/3

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12 w^{2} - 13 w + 3 = 0

w = \frac{3}{4}, w = \frac{1}{3}

Decimal Notation

w = 0.75, w = 0.33333 \dots

Solution steps

12 w^{2} - 13 w + 3 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 12 \cdot 3}{2 \cdot 12}

(- 13)^{2} - 4 \cdot 12 \cdot 3 = 5

w_{1, 2} = \frac{- ( - 13 ) \pm 5}{2 \cdot 12}

Separate the solutions

w_{1} = \frac{- ( - 13 ) + 5}{2 \cdot 12}, w_{2} = \frac{- ( - 13 ) - 5}{2 \cdot 12}

w = \frac{- ( - 13 ) + 5}{2 \cdot 12} : \frac{3}{4}

w = \frac{- ( - 13 ) - 5}{2 \cdot 12} : \frac{1}{3}

The solutions to the quadratic equation are:

w = \frac{3}{4}, w = \frac{1}{3}

0 = - 5 x^{2} + 225

(4 x - 5) (x + 2) = 4 x + 1

2 x (x + 3) = x^{2} + 3 x + 70

- x^{2} + 9 x - 3

(x - 2) (x - 3) = 30

What are the solutions to the equation 12w^2-13w+3=0 ?
The solutions to the equation 12w^2-13w+3=0 are w= 3/4 ,w= 1/3
Find the zeros of 12w^2-13w+3=0
The zeros of 12w^2-13w+3=0 are w= 3/4 ,w= 1/3