What are the solutions to the equation 9x^2+4x=16 ?

The solutions to the equation 9x^2+4x=16 are x=(2(sqrt(37)-1))/9 ,x=-(2(1+sqrt(37)))/9

Find the zeros of 9x^2+4x=16

The zeros of 9x^2+4x=16 are x=(2(sqrt(37)-1))/9 ,x=-(2(1+sqrt(37)))/9

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9 x^{2} + 4 x = 16

x = \frac{2 ( 37 - 1 )}{9}, x = - \frac{2 ( 1 + 37 )}{9}

Decimal Notation

x = 1.12950 \dots, x = - 1.57394 \dots

Solution steps

9 x^{2} + 4 x = 16

Move

16

to the left side

9 x^{2} + 4 x - 16 = 0

Solve with the quadratic formula

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

4^{2} - 4 \cdot 9 (- 16) = 437

x_{1, 2} = \frac{- 4 \pm 4 37}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- 4 + 4 37}{2 \cdot 9}, x_{2} = \frac{- 4 - 4 37}{2 \cdot 9}

x = \frac{- 4 + 4 37}{2 \cdot 9} : \frac{2 ( 37 - 1 )}{9}

x = \frac{- 4 - 4 37}{2 \cdot 9} : - \frac{2 ( 1 + 37 )}{9}

The solutions to the quadratic equation are:

x = \frac{2 ( 37 - 1 )}{9}, x = - \frac{2 ( 1 + 37 )}{9}

3 (x^{2} - 9) + 8 = 2

x^{4} + 4 x^{3} - x^{2} - 4 x

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

5 = (1 + \frac{200}{66.5}) 1.25 + (200000 \cdot x)

5 m^{2} - m - 6 = 0

What are the solutions to the equation 9x^2+4x=16 ?
The solutions to the equation 9x^2+4x=16 are x=(2(sqrt(37)-1))/9 ,x=-(2(1+sqrt(37)))/9
Find the zeros of 9x^2+4x=16
The zeros of 9x^2+4x=16 are x=(2(sqrt(37)-1))/9 ,x=-(2(1+sqrt(37)))/9