Solve 2x^2=10x-9 - ScanMath

Evaluate

2 x^{2} = 10 x - 9

Move the expression to the left side

2 x^{2} - 10 x + 9 = 0

Substitute a= 2,b= - 10 and c= 9 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{10 \pm ( - 10 ) ^{2} - 4 \times 2 \times 9}{2 \times 2}

Simplify the expression

x = \frac{10 \pm ( - 10 ) ^{2} - 4 \times 2 \times 9}{4}

Simplify the expression

More Steps

x = \frac{10 \pm 28}{4}

Simplify the radical expression

More Steps

x = \frac{10 \pm 2 7}{4}

Separate the equation into 2 possible cases

x = \frac{10 + 2 7}{4} x = \frac{10 - 2 7}{4}

Simplify the expression

More Steps

x = \frac{5 + 7}{2} x = \frac{10 - 2 7}{4}

Simplify the expression

More Steps

x = \frac{5 + 7}{2} x = \frac{5 - 7}{2}

Solution

x_{1} = \frac{5 - 7}{2}, x_{2} = \frac{5 + 7}{2}

Alternative Form

x_{1} \approx 1.177124, x_{2} \approx 3.822876

Solve the quadratic equation