What are the solutions to the equation 8+5b-3b^2=9 ?

The solutions to the equation 8+5b-3b^2=9 are b=(5-sqrt(13))/6 ,b=(5+sqrt(13))/6

Find the zeros of 8+5b-3b^2=9

The zeros of 8+5b-3b^2=9 are b=(5-sqrt(13))/6 ,b=(5+sqrt(13))/6

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8 + 5 b - 3 b^{2} = 9

b = \frac{5 - 13}{6}, b = \frac{5 + 13}{6}

Decimal Notation

b = 0.23240 \dots, b = 1.43425 \dots

Solution steps

8 + 5 b - 3 b^{2} = 9

Move

9

to the left side

- 3 b^{2} + 5 b - 1 = 0

Solve with the quadratic formula

b_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - 3 ) ( - 1 )}{2 ( - 3 )}

5^{2} - 4 (- 3) (- 1) = 13

b_{1, 2} = \frac{- 5 \pm 13}{2 ( - 3 )}

Separate the solutions

b_{1} = \frac{- 5 + 13}{2 ( - 3 )}, b_{2} = \frac{- 5 - 13}{2 ( - 3 )}

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

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

The solutions to the quadratic equation are:

b = \frac{5 - 13}{6}, b = \frac{5 + 13}{6}

24 x^{2} + 144 x + 216 = 0

x^{2} - 5 x + 6 \geq 0

\frac{5}{9} x = 10

0.8 x^{2} - 2 \cdot 3.8 \cdot 0.011 x + 0.01 1^{2} \cdot 0.8 = 0

2 x + 14 = 0

What are the solutions to the equation 8+5b-3b^2=9 ?
The solutions to the equation 8+5b-3b^2=9 are b=(5-sqrt(13))/6 ,b=(5+sqrt(13))/6
Find the zeros of 8+5b-3b^2=9
The zeros of 8+5b-3b^2=9 are b=(5-sqrt(13))/6 ,b=(5+sqrt(13))/6