What are the solutions to the equation 4p^2-9/2 =-7p ?

The solutions to the equation 4p^2-9/2 =-7p are p= 1/2 ,p=-9/4

Find the zeros of 4p^2-9/2 =-7p

The zeros of 4p^2-9/2 =-7p are p= 1/2 ,p=-9/4

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4 p^{2} - \frac{9}{2} = - 7 p

p = \frac{1}{2}, p = - \frac{9}{4}

Decimal Notation

p = 0.5, p = - 2.25

Solution steps

4 p^{2} - \frac{9}{2} = - 7 p

Multiply both sides by

2

8 p^{2} - 9 = - 14 p

Move

14 p

to the left side

8 p^{2} - 9 + 14 p = 0

Write in the standard form

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

8 p^{2} + 14 p - 9 = 0

Solve with the quadratic formula

p_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 8 ( - 9 )}{2 \cdot 8}

1 4^{2} - 4 \cdot 8 (- 9) = 22

p_{1, 2} = \frac{- 14 \pm 22}{2 \cdot 8}

Separate the solutions

p_{1} = \frac{- 14 + 22}{2 \cdot 8}, p_{2} = \frac{- 14 - 22}{2 \cdot 8}

p = \frac{- 14 + 22}{2 \cdot 8} : \frac{1}{2}

p = \frac{- 14 - 22}{2 \cdot 8} : - \frac{9}{4}

The solutions to the quadratic equation are:

p = \frac{1}{2}, p = - \frac{9}{4}

\frac{3}{\frac{2}{x} + y}

x^{2} - 23 x + 6

c^{4} - 81

∣ x - 2 ∣ < 3 x + 1

100 (1024)^{\frac{3}{5}} (243)^{\frac{2}{5}}

What are the solutions to the equation 4p^2-9/2 =-7p ?
The solutions to the equation 4p^2-9/2 =-7p are p= 1/2 ,p=-9/4
Find the zeros of 4p^2-9/2 =-7p
The zeros of 4p^2-9/2 =-7p are p= 1/2 ,p=-9/4