What are the solutions to the equation h^2-21h-18=0 ?

The solutions to the equation h^2-21h-18=0 are h=(21+3sqrt(57))/2 ,h=(21-3sqrt(57))/2

Find the zeros of h^2-21h-18=0

The zeros of h^2-21h-18=0 are h=(21+3sqrt(57))/2 ,h=(21-3sqrt(57))/2

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h^{2} - 21 h - 18 = 0

h = \frac{21 + 3 57}{2}, h = \frac{21 - 3 57}{2}

Decimal Notation

h = 21.82475 \dots, h = - 0.82475 \dots

Solution steps

h^{2} - 21 h - 18 = 0

Solve with the quadratic formula

h_{1, 2} = \frac{- ( - 21 ) \pm ( - 21 ) ^{2} - 4 \cdot 1 \cdot ( - 18 )}{2 \cdot 1}

(- 21)^{2} - 4 \cdot 1 \cdot (- 18) = 357

h_{1, 2} = \frac{- ( - 21 ) \pm 3 57}{2 \cdot 1}

Separate the solutions

h_{1} = \frac{- ( - 21 ) + 3 57}{2 \cdot 1}, h_{2} = \frac{- ( - 21 ) - 3 57}{2 \cdot 1}

h = \frac{- ( - 21 ) + 3 57}{2 \cdot 1} : \frac{21 + 3 57}{2}

h = \frac{- ( - 21 ) - 3 57}{2 \cdot 1} : \frac{21 - 3 57}{2}

The solutions to the quadratic equation are:

h = \frac{21 + 3 57}{2}, h = \frac{21 - 3 57}{2}

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(x - 9) (x + 8) < 0

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What are the solutions to the equation h^2-21h-18=0 ?
The solutions to the equation h^2-21h-18=0 are h=(21+3sqrt(57))/2 ,h=(21-3sqrt(57))/2
Find the zeros of h^2-21h-18=0
The zeros of h^2-21h-18=0 are h=(21+3sqrt(57))/2 ,h=(21-3sqrt(57))/2