What are the solutions to the equation solvefor w,30w=9w^2+25 ?

The solutions to the equation solvefor w,30w=9w^2+25 are w= 5/3

Find the zeros of solvefor w,30w=9w^2+25

The zeros of solvefor w,30w=9w^2+25 are w= 5/3

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w, 30 w = 9 w^{2} + 25

w = \frac{5}{3}

Decimal Notation

w = 1.66666 \dots

Solution steps

30 w = 9 w^{2} + 25

Switch sides

9 w^{2} + 25 = 30 w

Move

30 w

to the left side

9 w^{2} + 25 - 30 w = 0

Write in the standard form

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

9 w^{2} - 30 w + 25 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 9 \cdot 25}{2 \cdot 9}

(- 30)^{2} - 4 \cdot 9 \cdot 25 = 0

w_{1, 2} = \frac{- ( - 30 ) \pm 0}{2 \cdot 9}

w = \frac{- ( - 30 )}{2 \cdot 9}

\frac{- ( - 30 )}{2 \cdot 9} = \frac{5}{3}

w = \frac{5}{3}

The solution to the quadratic equation is:

w = \frac{5}{3}

d x^{2}

3 (x^{2} - 2) - 1 = 5

x^{2} + 3 x - 35 = 3 x + 1

84 x^{2} - 8 = 0

p^{2} - 16 p + 39 = 0

What are the solutions to the equation solvefor w,30w=9w^2+25 ?
The solutions to the equation solvefor w,30w=9w^2+25 are w= 5/3
Find the zeros of solvefor w,30w=9w^2+25
The zeros of solvefor w,30w=9w^2+25 are w= 5/3