What are the solutions to the equation 2.25x^2-3x=-1 ?

The solutions to the equation 2.25x^2-3x=-1 are x= 2/3

Find the zeros of 2.25x^2-3x=-1

The zeros of 2.25x^2-3x=-1 are x= 2/3

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

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

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

Multiply both sides by

100

225 x^{2} - 300 x = - 100

Move

100

to the left side

225 x^{2} - 300 x + 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 300 ) \pm ( - 300 ) ^{2} - 4 \cdot 225 \cdot 100}{2 \cdot 225}

(- 300)^{2} - 4 \cdot 225 \cdot 100 = 0

x_{1, 2} = \frac{- ( - 300 ) \pm 0}{2 \cdot 225}

x = \frac{- ( - 300 )}{2 \cdot 225}

\frac{- ( - 300 )}{2 \cdot 225} = \frac{2}{3}

x = \frac{2}{3}

The solution to the quadratic equation is:

x = \frac{2}{3}

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

x^{2} + 7^{2} = 9^{2}

x^{2} + x - 6 = 0

x^{2} = x + 42

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

What are the solutions to the equation 2.25x^2-3x=-1 ?
The solutions to the equation 2.25x^2-3x=-1 are x= 2/3
Find the zeros of 2.25x^2-3x=-1
The zeros of 2.25x^2-3x=-1 are x= 2/3