What are the solutions to the equation 9w^2=18w+7 ?

The solutions to the equation 9w^2=18w+7 are w= 7/3 ,w=-1/3

Find the zeros of 9w^2=18w+7

The zeros of 9w^2=18w+7 are w= 7/3 ,w=-1/3

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9 w^{2} = 18 w + 7

w = \frac{7}{3}, w = - \frac{1}{3}

Decimal Notation

w = 2.33333 \dots, w = - 0.33333 \dots

Solution steps

9 w^{2} = 18 w + 7

Move

7

to the left side

9 w^{2} - 7 = 18 w

Move

18 w

to the left side

9 w^{2} - 7 - 18 w = 0

Write in the standard form

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

9 w^{2} - 18 w - 7 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 9 ( - 7 )}{2 \cdot 9}

(- 18)^{2} - 4 \cdot 9 (- 7) = 24

w_{1, 2} = \frac{- ( - 18 ) \pm 24}{2 \cdot 9}

Separate the solutions

w_{1} = \frac{- ( - 18 ) + 24}{2 \cdot 9}, w_{2} = \frac{- ( - 18 ) - 24}{2 \cdot 9}

w = \frac{- ( - 18 ) + 24}{2 \cdot 9} : \frac{7}{3}

w = \frac{- ( - 18 ) - 24}{2 \cdot 9} : - \frac{1}{3}

The solutions to the quadratic equation are:

w = \frac{7}{3}, w = - \frac{1}{3}

z, z^{2} - 6 z + 25 = 0

x, x^{2} + y^{2} + 30 z - 50 = 0

x, t (x) = x^{2} - 1

3 x^{2} - 7 x + 2 = 5 x + 2

k^{2} - 2 = 0

What are the solutions to the equation 9w^2=18w+7 ?
The solutions to the equation 9w^2=18w+7 are w= 7/3 ,w=-1/3
Find the zeros of 9w^2=18w+7
The zeros of 9w^2=18w+7 are w= 7/3 ,w=-1/3