What are the solutions to the equation 7p^2+8p-1=5p^2 ?

The solutions to the equation 7p^2+8p-1=5p^2 are p=(-4+3sqrt(2))/2 ,p=-(4+3sqrt(2))/2

Find the zeros of 7p^2+8p-1=5p^2

The zeros of 7p^2+8p-1=5p^2 are p=(-4+3sqrt(2))/2 ,p=-(4+3sqrt(2))/2

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7 p^{2} + 8 p - 1 = 5 p^{2}

p = \frac{- 4 + 3 2}{2}, p = - \frac{4 + 3 2}{2}

Decimal Notation

p = 0.12132 \dots, p = - 4.12132 \dots

Solution steps

7 p^{2} + 8 p - 1 = 5 p^{2}

Move

5 p^{2}

to the left side

2 p^{2} + 8 p - 1 = 0

Solve with the quadratic formula

p_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 2 ( - 1 )}{2 \cdot 2}

8^{2} - 4 \cdot 2 (- 1) = 62

p_{1, 2} = \frac{- 8 \pm 6 2}{2 \cdot 2}

Separate the solutions

p_{1} = \frac{- 8 + 6 2}{2 \cdot 2}, p_{2} = \frac{- 8 - 6 2}{2 \cdot 2}

p = \frac{- 8 + 6 2}{2 \cdot 2} : \frac{- 4 + 3 2}{2}

p = \frac{- 8 - 6 2}{2 \cdot 2} : - \frac{4 + 3 2}{2}

The solutions to the quadratic equation are:

p = \frac{- 4 + 3 2}{2}, p = - \frac{4 + 3 2}{2}

100 0^{3}

49 + 49

- 6 x = 3 (5 x + 8) - 3

\frac{3}{5} + \frac{1}{2}

4 x^{2} + 6 x = 7

What are the solutions to the equation 7p^2+8p-1=5p^2 ?
The solutions to the equation 7p^2+8p-1=5p^2 are p=(-4+3sqrt(2))/2 ,p=-(4+3sqrt(2))/2
Find the zeros of 7p^2+8p-1=5p^2
The zeros of 7p^2+8p-1=5p^2 are p=(-4+3sqrt(2))/2 ,p=-(4+3sqrt(2))/2