What are the solutions to the equation 5x^2-12x+9=0 ?

The solutions to the equation 5x^2-12x+9=0 are x= 6/5+i 3/5 ,x= 6/5-i 3/5

Find the zeros of 5x^2-12x+9=0

The zeros of 5x^2-12x+9=0 are x= 6/5+i 3/5 ,x= 6/5-i 3/5

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5 x^{2} - 12 x + 9 = 0

x = \frac{6}{5} + i \frac{3}{5}, x = \frac{6}{5} - i \frac{3}{5}

Solution steps

5 x^{2} - 12 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 5 \cdot 9}{2 \cdot 5}

Simplify

(- 12)^{2} - 4 \cdot 5 \cdot 9 : 6 i

x_{1, 2} = \frac{- ( - 12 ) \pm 6 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 6 i}{2 \cdot 5}, x_{2} = \frac{- ( - 12 ) - 6 i}{2 \cdot 5}

x = \frac{- ( - 12 ) + 6 i}{2 \cdot 5} : \frac{6}{5} + i \frac{3}{5}

x = \frac{- ( - 12 ) - 6 i}{2 \cdot 5} : \frac{6}{5} - i \frac{3}{5}

The solutions to the quadratic equation are:

x = \frac{6}{5} + i \frac{3}{5}, x = \frac{6}{5} - i \frac{3}{5}

0 = x (x - 1)

64 w^{2} - 81 u^{2}

(\frac{4}{3})^{3}

6 z^{2} + 6 z = 10 z - 6

7 x - 3 x - 8 = 24

What are the solutions to the equation 5x^2-12x+9=0 ?
The solutions to the equation 5x^2-12x+9=0 are x= 6/5+i 3/5 ,x= 6/5-i 3/5
Find the zeros of 5x^2-12x+9=0
The zeros of 5x^2-12x+9=0 are x= 6/5+i 3/5 ,x= 6/5-i 3/5