What are the solutions to the equation roots f(x)=9x^2-54x-19 ?

The solutions to the equation roots f(x)=9x^2-54x-19 are x= 19/3 ,x=-1/3

Find the zeros of roots f(x)=9x^2-54x-19

The zeros of roots f(x)=9x^2-54x-19 are x= 19/3 ,x=-1/3

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roots

f (x) = 9 x^{2} - 54 x - 19

x = \frac{19}{3}, x = - \frac{1}{3}

Solution steps

9 x^{2} - 54 x - 19

The roots are the intercepts with the x-axis

(y = 0)

9 x^{2} - 54 x - 19 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 54 ) \pm ( - 54 ) ^{2} - 4 \cdot 9 ( - 19 )}{2 \cdot 9}

(- 54)^{2} - 4 \cdot 9 (- 19) = 60

x_{1, 2} = \frac{- ( - 54 ) \pm 60}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 54 ) + 60}{2 \cdot 9}, x_{2} = \frac{- ( - 54 ) - 60}{2 \cdot 9}

x = \frac{- ( - 54 ) + 60}{2 \cdot 9} : \frac{19}{3}

x = \frac{- ( - 54 ) - 60}{2 \cdot 9} : - \frac{1}{3}

The solutions to the quadratic equation are:

x = \frac{19}{3}, x = - \frac{1}{3}

5^{x} = 8

Q u a d r a t i c (4.2)

f (x) = (x - 6) (2 x + 10)

cot (θ)

Q u a d r a t i c (- 2.4)

What are the solutions to the equation roots f(x)=9x^2-54x-19 ?
The solutions to the equation roots f(x)=9x^2-54x-19 are x= 19/3 ,x=-1/3
Find the zeros of roots f(x)=9x^2-54x-19
The zeros of roots f(x)=9x^2-54x-19 are x= 19/3 ,x=-1/3