What are the solutions to the equation 400-q^2=20q+100 ?

The solutions to the equation 400-q^2=20q+100 are q=-30,q=10

Find the zeros of 400-q^2=20q+100

The zeros of 400-q^2=20q+100 are q=-30,q=10

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400 - q^{2} = 20 q + 100

q = - 30, q = 10

Solution steps

400 - q^{2} = 20 q + 100

Move

100

to the left side

- q^{2} + 300 = 20 q

Move

20 q

to the left side

- q^{2} + 300 - 20 q = 0

Write in the standard form

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

- q^{2} - 20 q + 300 = 0

Solve with the quadratic formula

q_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 ( - 1 ) \cdot 300}{2 ( - 1 )}

(- 20)^{2} - 4 (- 1) \cdot 300 = 40

q_{1, 2} = \frac{- ( - 20 ) \pm 40}{2 ( - 1 )}

Separate the solutions

q_{1} = \frac{- ( - 20 ) + 40}{2 ( - 1 )}, q_{2} = \frac{- ( - 20 ) - 40}{2 ( - 1 )}

q = \frac{- ( - 20 ) + 40}{2 ( - 1 )} : - 30

q = \frac{- ( - 20 ) - 40}{2 ( - 1 )} : 10

The solutions to the quadratic equation are:

q = - 30, q = 10

t^{2} + 9 t + 14

8 m + 36 n

5 r^{2} - 26 r = 24

y^{2} - 6 y - 12 = 0

7 (2 n - 9) + 28 = 21

What are the solutions to the equation 400-q^2=20q+100 ?
The solutions to the equation 400-q^2=20q+100 are q=-30,q=10
Find the zeros of 400-q^2=20q+100
The zeros of 400-q^2=20q+100 are q=-30,q=10