Solve 3x^2-10x+4 - ScanMath

Evaluate

3 x^{2} - 10 x + 4

To find the roots of the expression,set the expression equal to 0

3 x^{2} - 10 x + 4 = 0

Substitute a= 3,b= - 10 and c= 4 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{10 \pm ( - 10 ) ^{2} - 4 \times 3 \times 4}{2 \times 3}

Simplify the expression

x = \frac{10 \pm ( - 10 ) ^{2} - 4 \times 3 \times 4}{6}

Simplify the expression

More Steps

x = \frac{10 \pm 52}{6}

Simplify the radical expression

More Steps

x = \frac{10 \pm 2 13}{6}

Separate the equation into 2 possible cases

x = \frac{10 + 2 13}{6} x = \frac{10 - 2 13}{6}

Simplify the expression

More Steps

x = \frac{5 + 13}{3} x = \frac{10 - 2 13}{6}

Simplify the expression

More Steps

x = \frac{5 + 13}{3} x = \frac{5 - 13}{3}

Solution

x_{1} = \frac{5 - 13}{3}, x_{2} = \frac{5 + 13}{3}

Alternative Form

x_{1} \approx 0.464816, x_{2} \approx 2.868517

Find the roots