What are the solutions to the equation 15(p^2-1)=16p ?

The solutions to the equation 15(p^2-1)=16p are p= 5/3 ,p=-3/5

Find the zeros of 15(p^2-1)=16p

The zeros of 15(p^2-1)=16p are p= 5/3 ,p=-3/5

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15 (p^{2} - 1) = 16 p

p = \frac{5}{3}, p = - \frac{3}{5}

Decimal Notation

p = 1.66666 \dots, p = - 0.6

Solution steps

15 (p^{2} - 1) = 16 p

Expand

15 (p^{2} - 1) : 15 p^{2} - 15

15 p^{2} - 15 = 16 p

Move

16 p

to the left side

15 p^{2} - 15 - 16 p = 0

Write in the standard form

a x^{2} + b x + c = 0

15 p^{2} - 16 p - 15 = 0

Solve with the quadratic formula

p_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 15 ( - 15 )}{2 \cdot 15}

(- 16)^{2} - 4 \cdot 15 (- 15) = 34

p_{1, 2} = \frac{- ( - 16 ) \pm 34}{2 \cdot 15}

Separate the solutions

p_{1} = \frac{- ( - 16 ) + 34}{2 \cdot 15}, p_{2} = \frac{- ( - 16 ) - 34}{2 \cdot 15}

p = \frac{- ( - 16 ) + 34}{2 \cdot 15} : \frac{5}{3}

p = \frac{- ( - 16 ) - 34}{2 \cdot 15} : - \frac{3}{5}

The solutions to the quadratic equation are:

p = \frac{5}{3}, p = - \frac{3}{5}

2 x^{2} + 5 x + 2 = - 4

x^{2} + 10 = 110

- 7 x^{2} - 8 x + 4 = 0

9 x^{2} + 20 = 189

- 4 x^{2} + 6 x - 6 = 0

What are the solutions to the equation 15(p^2-1)=16p ?
The solutions to the equation 15(p^2-1)=16p are p= 5/3 ,p=-3/5
Find the zeros of 15(p^2-1)=16p
The zeros of 15(p^2-1)=16p are p= 5/3 ,p=-3/5