What are the solutions to the equation 9x^2-16=24x-32 ?

The solutions to the equation 9x^2-16=24x-32 are x= 4/3

Find the zeros of 9x^2-16=24x-32

The zeros of 9x^2-16=24x-32 are x= 4/3

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9 x^{2} - 16 = 24 x - 32

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

9 x^{2} - 16 = 24 x - 32

Move

32

to the left side

9 x^{2} + 16 = 24 x

Move

24 x

to the left side

9 x^{2} + 16 - 24 x = 0

Write in the standard form

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

9 x^{2} - 24 x + 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 9 \cdot 16}{2 \cdot 9}

(- 24)^{2} - 4 \cdot 9 \cdot 16 = 0

x_{1, 2} = \frac{- ( - 24 ) \pm 0}{2 \cdot 9}

x = \frac{- ( - 24 )}{2 \cdot 9}

\frac{- ( - 24 )}{2 \cdot 9} = \frac{4}{3}

x = \frac{4}{3}

The solution to the quadratic equation is:

x = \frac{4}{3}

- j + 3 j + 2 = - 14

102 x^{2} - 375 x + 149 = 9273000

2 (- \frac{1}{4})

- 1.2 + 0.6 a \leq 0.4 a + 0.5

2 p^{2} + 8 p = - 7

What are the solutions to the equation 9x^2-16=24x-32 ?
The solutions to the equation 9x^2-16=24x-32 are x= 4/3
Find the zeros of 9x^2-16=24x-32
The zeros of 9x^2-16=24x-32 are x= 4/3