What are the solutions to the equation 3f^2-16f+16=0 ?

The solutions to the equation 3f^2-16f+16=0 are f=4,f= 4/3

Find the zeros of 3f^2-16f+16=0

The zeros of 3f^2-16f+16=0 are f=4,f= 4/3

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3 f^{2} - 16 f + 16 = 0

f = 4, f = \frac{4}{3}

Decimal Notation

f = 4, f = 1.33333 \dots

Solution steps

3 f^{2} - 16 f + 16 = 0

Solve with the quadratic formula

f_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 3 \cdot 16}{2 \cdot 3}

(- 16)^{2} - 4 \cdot 3 \cdot 16 = 8

f_{1, 2} = \frac{- ( - 16 ) \pm 8}{2 \cdot 3}

Separate the solutions

f_{1} = \frac{- ( - 16 ) + 8}{2 \cdot 3}, f_{2} = \frac{- ( - 16 ) - 8}{2 \cdot 3}

f = \frac{- ( - 16 ) + 8}{2 \cdot 3} : 4

f = \frac{- ( - 16 ) - 8}{2 \cdot 3} : \frac{4}{3}

The solutions to the quadratic equation are:

f = 4, f = \frac{4}{3}

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

0 = - x^{2} + 8 x - 15

x^{2} - 3 x + 2 = 12

(x) = x^{2} + 1

x, \frac{( x ^{(2)} + y ^{3} )}{y} - 4 x^{2} y = 4

What are the solutions to the equation 3f^2-16f+16=0 ?
The solutions to the equation 3f^2-16f+16=0 are f=4,f= 4/3
Find the zeros of 3f^2-16f+16=0
The zeros of 3f^2-16f+16=0 are f=4,f= 4/3