What are the solutions to the equation 23p=5p^2+24 ?

The solutions to the equation 23p=5p^2+24 are p=3,p= 8/5

Find the zeros of 23p=5p^2+24

The zeros of 23p=5p^2+24 are p=3,p= 8/5

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23 p = 5 p^{2} + 24

p = 3, p = \frac{8}{5}

Decimal Notation

p = 3, p = 1.6

Solution steps

23 p = 5 p^{2} + 24

Switch sides

5 p^{2} + 24 = 23 p

Move

23 p

to the left side

5 p^{2} + 24 - 23 p = 0

Write in the standard form

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

5 p^{2} - 23 p + 24 = 0

Solve with the quadratic formula

p_{1, 2} = \frac{- ( - 23 ) \pm ( - 23 ) ^{2} - 4 \cdot 5 \cdot 24}{2 \cdot 5}

(- 23)^{2} - 4 \cdot 5 \cdot 24 = 7

p_{1, 2} = \frac{- ( - 23 ) \pm 7}{2 \cdot 5}

Separate the solutions

p_{1} = \frac{- ( - 23 ) + 7}{2 \cdot 5}, p_{2} = \frac{- ( - 23 ) - 7}{2 \cdot 5}

p = \frac{- ( - 23 ) + 7}{2 \cdot 5} : 3

p = \frac{- ( - 23 ) - 7}{2 \cdot 5} : \frac{8}{5}

The solutions to the quadratic equation are:

p = 3, p = \frac{8}{5}

5 x^{2} + 23 x - 10

50 b^{2} = 2

- 5 \cdot 5

lo g_{8} (\frac{1}{4})

\frac{2}{3} - \frac{3}{5}

What are the solutions to the equation 23p=5p^2+24 ?
The solutions to the equation 23p=5p^2+24 are p=3,p= 8/5
Find the zeros of 23p=5p^2+24
The zeros of 23p=5p^2+24 are p=3,p= 8/5