What are the solutions to the equation 10r^2-23r+9=0 ?

The solutions to the equation 10r^2-23r+9=0 are r= 9/5 ,r= 1/2

Find the zeros of 10r^2-23r+9=0

The zeros of 10r^2-23r+9=0 are r= 9/5 ,r= 1/2

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10 r^{2} - 23 r + 9 = 0

r = \frac{9}{5}, r = \frac{1}{2}

Decimal Notation

r = 1.8, r = 0.5

Solution steps

10 r^{2} - 23 r + 9 = 0

Solve with the quadratic formula

r_{1, 2} = \frac{- ( - 23 ) \pm ( - 23 ) ^{2} - 4 \cdot 10 \cdot 9}{2 \cdot 10}

(- 23)^{2} - 4 \cdot 10 \cdot 9 = 13

r_{1, 2} = \frac{- ( - 23 ) \pm 13}{2 \cdot 10}

Separate the solutions

r_{1} = \frac{- ( - 23 ) + 13}{2 \cdot 10}, r_{2} = \frac{- ( - 23 ) - 13}{2 \cdot 10}

r = \frac{- ( - 23 ) + 13}{2 \cdot 10} : \frac{9}{5}

r = \frac{- ( - 23 ) - 13}{2 \cdot 10} : \frac{1}{2}

The solutions to the quadratic equation are:

r = \frac{9}{5}, r = \frac{1}{2}

x^{2} + (x + 3)^{2} = (2 x - 3)^{2}

x^{2} = \frac{49}{4}

6 x^{2} - 3 x - 12 = 0

- 2 x^{2} - 6 x - 2 = 0

x (x + 6) = 27

What are the solutions to the equation 10r^2-23r+9=0 ?
The solutions to the equation 10r^2-23r+9=0 are r= 9/5 ,r= 1/2
Find the zeros of 10r^2-23r+9=0
The zeros of 10r^2-23r+9=0 are r= 9/5 ,r= 1/2