What are the solutions to the equation 6b^2-13b+3=-3 ?

The solutions to the equation 6b^2-13b+3=-3 are b= 3/2 ,b= 2/3

Find the zeros of 6b^2-13b+3=-3

The zeros of 6b^2-13b+3=-3 are b= 3/2 ,b= 2/3

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6 b^{2} - 13 b + 3 = - 3

b = \frac{3}{2}, b = \frac{2}{3}

Decimal Notation

b = 1.5, b = 0.66666 \dots

Solution steps

6 b^{2} - 13 b + 3 = - 3

Move

3

to the left side

6 b^{2} - 13 b + 6 = 0

Solve with the quadratic formula

b_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 6 \cdot 6}{2 \cdot 6}

(- 13)^{2} - 4 \cdot 6 \cdot 6 = 5

b_{1, 2} = \frac{- ( - 13 ) \pm 5}{2 \cdot 6}

Separate the solutions

b_{1} = \frac{- ( - 13 ) + 5}{2 \cdot 6}, b_{2} = \frac{- ( - 13 ) - 5}{2 \cdot 6}

b = \frac{- ( - 13 ) + 5}{2 \cdot 6} : \frac{3}{2}

b = \frac{- ( - 13 ) - 5}{2 \cdot 6} : \frac{2}{3}

The solutions to the quadratic equation are:

b = \frac{3}{2}, b = \frac{2}{3}

5 a - 2 = 23

(x y - 1) (x - 1) (y + 1) - x y

\frac{x ^{3} y ^{- 5}}{x ^{7} y ^{- 7}}

0.15 t^{2} = 150 - 4 t

7 (x + 2) = 42

What are the solutions to the equation 6b^2-13b+3=-3 ?
The solutions to the equation 6b^2-13b+3=-3 are b= 3/2 ,b= 2/3
Find the zeros of 6b^2-13b+3=-3
The zeros of 6b^2-13b+3=-3 are b= 3/2 ,b= 2/3