What are the solutions to the equation 9x^2-30x+23=0 ?

The solutions to the equation 9x^2-30x+23=0 are x=(5+sqrt(2))/3 ,x=(5-sqrt(2))/3

Find the zeros of 9x^2-30x+23=0

The zeros of 9x^2-30x+23=0 are x=(5+sqrt(2))/3 ,x=(5-sqrt(2))/3

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9 x^{2} - 30 x + 23 = 0

x = \frac{5 + 2}{3}, x = \frac{5 - 2}{3}

Decimal Notation

x = 2.13807 \dots, x = 1.19526 \dots

Solution steps

9 x^{2} - 30 x + 23 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 9 \cdot 23}{2 \cdot 9}

(- 30)^{2} - 4 \cdot 9 \cdot 23 = 62

x_{1, 2} = \frac{- ( - 30 ) \pm 6 2}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 6 2}{2 \cdot 9}, x_{2} = \frac{- ( - 30 ) - 6 2}{2 \cdot 9}

x = \frac{- ( - 30 ) + 6 2}{2 \cdot 9} : \frac{5 + 2}{3}

x = \frac{- ( - 30 ) - 6 2}{2 \cdot 9} : \frac{5 - 2}{3}

The solutions to the quadratic equation are:

x = \frac{5 + 2}{3}, x = \frac{5 - 2}{3}

m^{2} + 12 = 48

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

8 x^{2} + 14 x = 0

0.2 x^{2} - 1.1 x - 1 = 0

n^{2} + 10 = 7 n

What are the solutions to the equation 9x^2-30x+23=0 ?
The solutions to the equation 9x^2-30x+23=0 are x=(5+sqrt(2))/3 ,x=(5-sqrt(2))/3
Find the zeros of 9x^2-30x+23=0
The zeros of 9x^2-30x+23=0 are x=(5+sqrt(2))/3 ,x=(5-sqrt(2))/3