What are the solutions to the equation 5p^2-10p+24=0 ?

The solutions to the equation 5p^2-10p+24=0 are p=1+isqrt(19/5),p=1-isqrt(19/5)

Find the zeros of 5p^2-10p+24=0

The zeros of 5p^2-10p+24=0 are p=1+isqrt(19/5),p=1-isqrt(19/5)

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5 p^{2} - 10 p + 24 = 0

p = 1 + i \frac{19}{5}, p = 1 - i \frac{19}{5}

Solution steps

5 p^{2} - 10 p + 24 = 0

Solve with the quadratic formula

p_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 \cdot 24}{2 \cdot 5}

Simplify

(- 10)^{2} - 4 \cdot 5 \cdot 24 : 295 i

p_{1, 2} = \frac{- ( - 10 ) \pm 2 95 i}{2 \cdot 5}

Separate the solutions

p_{1} = \frac{- ( - 10 ) + 2 95 i}{2 \cdot 5}, p_{2} = \frac{- ( - 10 ) - 2 95 i}{2 \cdot 5}

p = \frac{- ( - 10 ) + 2 95 i}{2 \cdot 5} : 1 + i \frac{19}{5}

p = \frac{- ( - 10 ) - 2 95 i}{2 \cdot 5} : 1 - i \frac{19}{5}

The solutions to the quadratic equation are:

p = 1 + i \frac{19}{5}, p = 1 - i \frac{19}{5}

x^{2} - 5 x - 50 = 0

- 3 w^{2} + 12 w - 27 = 0

2 x^{2} - 6 x = 7

0 = x^{2} - 13 x + 12

- 0.05 x^{2} + 1.5 x + 1.55 = 0

What are the solutions to the equation 5p^2-10p+24=0 ?
The solutions to the equation 5p^2-10p+24=0 are p=1+isqrt(19/5),p=1-isqrt(19/5)
Find the zeros of 5p^2-10p+24=0
The zeros of 5p^2-10p+24=0 are p=1+isqrt(19/5),p=1-isqrt(19/5)