What are the solutions to the equation 4p^2-5p-6=-2 ?

The solutions to the equation 4p^2-5p-6=-2 are p=(5+sqrt(89))/8 ,p=(5-sqrt(89))/8

Find the zeros of 4p^2-5p-6=-2

The zeros of 4p^2-5p-6=-2 are p=(5+sqrt(89))/8 ,p=(5-sqrt(89))/8

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4 p^{2} - 5 p - 6 = - 2

p = \frac{5 + 89}{8}, p = \frac{5 - 89}{8}

Decimal Notation

p = 1.80424 \dots, p = - 0.55424 \dots

Solution steps

4 p^{2} - 5 p - 6 = - 2

Move

2

to the left side

4 p^{2} - 5 p - 4 = 0

Solve with the quadratic formula

p_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 4 ( - 4 )}{2 \cdot 4}

(- 5)^{2} - 4 \cdot 4 (- 4) = 89

p_{1, 2} = \frac{- ( - 5 ) \pm 89}{2 \cdot 4}

Separate the solutions

p_{1} = \frac{- ( - 5 ) + 89}{2 \cdot 4}, p_{2} = \frac{- ( - 5 ) - 89}{2 \cdot 4}

p = \frac{- ( - 5 ) + 89}{2 \cdot 4} : \frac{5 + 89}{8}

p = \frac{- ( - 5 ) - 89}{2 \cdot 4} : \frac{5 - 89}{8}

The solutions to the quadratic equation are:

p = \frac{5 + 89}{8}, p = \frac{5 - 89}{8}

9 x^{2} - 11 = 5

5 x^{2} - 6 = 14

100 = 15 t + \frac{4 t ^{2}}{2}

- x^{2} - 3 x - 1

2 (x - 3)^{2} = 50

What are the solutions to the equation 4p^2-5p-6=-2 ?
The solutions to the equation 4p^2-5p-6=-2 are p=(5+sqrt(89))/8 ,p=(5-sqrt(89))/8
Find the zeros of 4p^2-5p-6=-2
The zeros of 4p^2-5p-6=-2 are p=(5+sqrt(89))/8 ,p=(5-sqrt(89))/8