What are the solutions to the equation (q)=q^2+100q+500 ?

The solutions to the equation (q)=q^2+100q+500 are q=(-99+sqrt(7801))/2 ,q=(-99-sqrt(7801))/2

Find the zeros of (q)=q^2+100q+500

The zeros of (q)=q^2+100q+500 are q=(-99+sqrt(7801))/2 ,q=(-99-sqrt(7801))/2

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(q) = q^{2} + 100 q + 500

q = \frac{- 99 + 7801}{2}, q = \frac{- 99 - 7801}{2}

Decimal Notation

q = - 5.33836 \dots, q = - 93.66163 \dots

Solution steps

(q) = q^{2} + 100 q + 500

Refine

q = q^{2} + 100 q + 500

Switch sides

q^{2} + 100 q + 500 = q

Move

q

to the left side

q^{2} + 99 q + 500 = 0

Solve with the quadratic formula

q_{1, 2} = \frac{- 99 \pm 9 9 ^{2} - 4 \cdot 1 \cdot 500}{2 \cdot 1}

9 9^{2} - 4 \cdot 1 \cdot 500 = 7801

q_{1, 2} = \frac{- 99 \pm 7801}{2 \cdot 1}

Separate the solutions

q_{1} = \frac{- 99 + 7801}{2 \cdot 1}, q_{2} = \frac{- 99 - 7801}{2 \cdot 1}

q = \frac{- 99 + 7801}{2 \cdot 1} : \frac{- 99 + 7801}{2}

q = \frac{- 99 - 7801}{2 \cdot 1} : \frac{- 99 - 7801}{2}

The solutions to the quadratic equation are:

q = \frac{- 99 + 7801}{2}, q = \frac{- 99 - 7801}{2}

(p + 5)^{2} = 4

0.45 x + (- \frac{x ^{2}}{- 17}) = 25

x^{2} - 11 x + 56 = 28

x, 24 x y - 3 y^{2} + 4 x^{2} - 156 = 0

x^{2} + 32 x - 64 = 0

What are the solutions to the equation (q)=q^2+100q+500 ?
The solutions to the equation (q)=q^2+100q+500 are q=(-99+sqrt(7801))/2 ,q=(-99-sqrt(7801))/2
Find the zeros of (q)=q^2+100q+500
The zeros of (q)=q^2+100q+500 are q=(-99+sqrt(7801))/2 ,q=(-99-sqrt(7801))/2