What are the solutions to the equation 9x^2-7x+4=0 ?

The solutions to the equation 9x^2-7x+4=0 are x= 7/18+i(sqrt(95))/(18),x= 7/18-i(sqrt(95))/(18)

Find the zeros of 9x^2-7x+4=0

The zeros of 9x^2-7x+4=0 are x= 7/18+i(sqrt(95))/(18),x= 7/18-i(sqrt(95))/(18)

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9 x^{2} - 7 x + 4 = 0

x = \frac{7}{18} + i \frac{95}{18}, x = \frac{7}{18} - i \frac{95}{18}

Solution steps

9 x^{2} - 7 x + 4 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 9 \cdot 4}{2 \cdot 9}

Simplify

(- 7)^{2} - 4 \cdot 9 \cdot 4 : 95 i

x_{1, 2} = \frac{- ( - 7 ) \pm 95 i}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 95 i}{2 \cdot 9}, x_{2} = \frac{- ( - 7 ) - 95 i}{2 \cdot 9}

x = \frac{- ( - 7 ) + 95 i}{2 \cdot 9} : \frac{7}{18} + i \frac{95}{18}

x = \frac{- ( - 7 ) - 95 i}{2 \cdot 9} : \frac{7}{18} - i \frac{95}{18}

The solutions to the quadratic equation are:

x = \frac{7}{18} + i \frac{95}{18}, x = \frac{7}{18} - i \frac{95}{18}

2 x^{2} + 9 x = 5

3^{2} - 4

9 x^{2} + 21 x + 10

x (9 x + 1) + (9 x + 1)

∣ x ∣ + 2 = 0

What are the solutions to the equation 9x^2-7x+4=0 ?
The solutions to the equation 9x^2-7x+4=0 are x= 7/18+i(sqrt(95))/(18),x= 7/18-i(sqrt(95))/(18)
Find the zeros of 9x^2-7x+4=0
The zeros of 9x^2-7x+4=0 are x= 7/18+i(sqrt(95))/(18),x= 7/18-i(sqrt(95))/(18)