What are the solutions to the equation 2p^2-13p+3=-4p ?

The solutions to the equation 2p^2-13p+3=-4p are p=(9+sqrt(57))/4 ,p=(9-sqrt(57))/4

Find the zeros of 2p^2-13p+3=-4p

The zeros of 2p^2-13p+3=-4p are p=(9+sqrt(57))/4 ,p=(9-sqrt(57))/4

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2 p^{2} - 13 p + 3 = - 4 p

p = \frac{9 + 57}{4}, p = \frac{9 - 57}{4}

Decimal Notation

p = 4.13745 \dots, p = 0.36254 \dots

Solution steps

2 p^{2} - 13 p + 3 = - 4 p

Move

4 p

to the left side

2 p^{2} - 9 p + 3 = 0

Solve with the quadratic formula

p_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 2 \cdot 3}{2 \cdot 2}

(- 9)^{2} - 4 \cdot 2 \cdot 3 = 57

p_{1, 2} = \frac{- ( - 9 ) \pm 57}{2 \cdot 2}

Separate the solutions

p_{1} = \frac{- ( - 9 ) + 57}{2 \cdot 2}, p_{2} = \frac{- ( - 9 ) - 57}{2 \cdot 2}

p = \frac{- ( - 9 ) + 57}{2 \cdot 2} : \frac{9 + 57}{4}

p = \frac{- ( - 9 ) - 57}{2 \cdot 2} : \frac{9 - 57}{4}

The solutions to the quadratic equation are:

p = \frac{9 + 57}{4}, p = \frac{9 - 57}{4}

0 = 2 (x - 3)^{2} - 6

2 x^{2} - 5 = - 7

2 x^{2} - 4 x - 5 = 2 x + x^{2} - 10

5 x^{2} - 14 x + 14 = 0

6 m (m + 4) = m - 15

What are the solutions to the equation 2p^2-13p+3=-4p ?
The solutions to the equation 2p^2-13p+3=-4p are p=(9+sqrt(57))/4 ,p=(9-sqrt(57))/4
Find the zeros of 2p^2-13p+3=-4p
The zeros of 2p^2-13p+3=-4p are p=(9+sqrt(57))/4 ,p=(9-sqrt(57))/4