What are the solutions to the equation 6b^2-7b-21=-1 ?

The solutions to the equation 6b^2-7b-21=-1 are b= 5/2 ,b=-4/3

Find the zeros of 6b^2-7b-21=-1

The zeros of 6b^2-7b-21=-1 are b= 5/2 ,b=-4/3

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6 b^{2} - 7 b - 21 = - 1

b = \frac{5}{2}, b = - \frac{4}{3}

Decimal Notation

b = 2.5, b = - 1.33333 \dots

Solution steps

6 b^{2} - 7 b - 21 = - 1

Move

1

to the left side

6 b^{2} - 7 b - 20 = 0

Solve with the quadratic formula

b_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 6 ( - 20 )}{2 \cdot 6}

(- 7)^{2} - 4 \cdot 6 (- 20) = 23

b_{1, 2} = \frac{- ( - 7 ) \pm 23}{2 \cdot 6}

Separate the solutions

b_{1} = \frac{- ( - 7 ) + 23}{2 \cdot 6}, b_{2} = \frac{- ( - 7 ) - 23}{2 \cdot 6}

b = \frac{- ( - 7 ) + 23}{2 \cdot 6} : \frac{5}{2}

b = \frac{- ( - 7 ) - 23}{2 \cdot 6} : - \frac{4}{3}

The solutions to the quadratic equation are:

b = \frac{5}{2}, b = - \frac{4}{3}

2 (x^{2} - 7) + 3 = - 3

x^{2} + 52 = - 12 x

5 (x^{2} - 4) - 5 = - 5

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

x^{2} + 2 x + a

What are the solutions to the equation 6b^2-7b-21=-1 ?
The solutions to the equation 6b^2-7b-21=-1 are b= 5/2 ,b=-4/3
Find the zeros of 6b^2-7b-21=-1
The zeros of 6b^2-7b-21=-1 are b= 5/2 ,b=-4/3