What are the solutions to the equation 9x^4-75x^3+126x^2=0 ?

The solutions to the equation 9x^4-75x^3+126x^2=0 are x=0,x= 7/3 ,x=6

Find the zeros of 9x^4-75x^3+126x^2=0

The zeros of 9x^4-75x^3+126x^2=0 are x=0,x= 7/3 ,x=6

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9 x^{4} - 75 x^{3} + 126 x^{2} = 0

x = 0, x = \frac{7}{3}, x = 6

Decimal Notation

x = 0, x = 2.33333 \dots, x = 6

Solution steps

9 x^{4} - 75 x^{3} + 126 x^{2} = 0

Factor

9 x^{4} - 75 x^{3} + 126 x^{2} : 3 x^{2} (3 x - 7) (x - 6)

3 x^{2} (3 x - 7) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x - 7 = 0 or x - 6 = 0

Solve

3 x - 7 = 0 : x = \frac{7}{3}

Solve

x - 6 = 0 : x = 6

The solutions are

x = 0, x = \frac{7}{3}, x = 6

(3^{3}) 2 = n^{6}

x^{3} - 3 x + 1 = x^{2} + 2

9 x^{4} - 39 x^{3} + 55 x^{2} - 7 x - 10 = 0

10000000 = 2560000000 (x^{8})

3 x^{3} + 9 x - 1 = 0

What are the solutions to the equation 9x^4-75x^3+126x^2=0 ?
The solutions to the equation 9x^4-75x^3+126x^2=0 are x=0,x= 7/3 ,x=6
Find the zeros of 9x^4-75x^3+126x^2=0
The zeros of 9x^4-75x^3+126x^2=0 are x=0,x= 7/3 ,x=6