What are the solutions to the equation roots g(x)=5x-12x^2+3 ?

The solutions to the equation roots g(x)=5x-12x^2+3 are x=-1/3 ,x= 3/4

Find the zeros of roots g(x)=5x-12x^2+3

The zeros of roots g(x)=5x-12x^2+3 are x=-1/3 ,x= 3/4

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roots

g (x) = 5 x - 12 x^{2} + 3

x = - \frac{1}{3}, x = \frac{3}{4}

Solution steps

5 x - 12 x^{2} + 3

The roots are the intercepts with the x-axis

(y = 0)

5 x - 12 x^{2} + 3 = 0

Write in the standard form

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

- 12 x^{2} + 5 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - 12 ) \cdot 3}{2 ( - 12 )}

5^{2} - 4 (- 12) \cdot 3 = 13

x_{1, 2} = \frac{- 5 \pm 13}{2 ( - 12 )}

Separate the solutions

x_{1} = \frac{- 5 + 13}{2 ( - 12 )}, x_{2} = \frac{- 5 - 13}{2 ( - 12 )}

x = \frac{- 5 + 13}{2 ( - 12 )} : - \frac{1}{3}

x = \frac{- 5 - 13}{2 ( - 12 )} : \frac{3}{4}

The solutions to the quadratic equation are:

x = - \frac{1}{3}, x = \frac{3}{4}

∣ x ∣ > 11

125 0^{\frac{3}{4}}

lo g_{10} (x) + lo g_{10} (x^{2}) - 16 - lo g_{10} (11) - lo g_{10} (x) + 4

24/8

x, lo g_{3} (81) = x

What are the solutions to the equation roots g(x)=5x-12x^2+3 ?
The solutions to the equation roots g(x)=5x-12x^2+3 are x=-1/3 ,x= 3/4
Find the zeros of roots g(x)=5x-12x^2+3
The zeros of roots g(x)=5x-12x^2+3 are x=-1/3 ,x= 3/4