Solve 2a^2-3a+2 - ScanMath

Evaluate

2 a^{2} - 3 a + 2

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

2 a^{2} - 3 a + 2 = 0

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

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

Simplify the expression

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

Simplify the expression

More Steps

a = \frac{3 \pm - 7}{4}

Simplify the radical expression

More Steps

a = \frac{3 \pm 7 \times i}{4}

Separate the equation into 2 possible cases

a = \frac{3 + 7 \times i}{4} a = \frac{3 - 7 \times i}{4}

Simplify the expression

a = \frac{3}{4} + \frac{7}{4} i a = \frac{3 - 7 \times i}{4}

Simplify the expression

a = \frac{3}{4} + \frac{7}{4} i a = \frac{3}{4} - \frac{7}{4} i

Solution

a_{1} = \frac{3}{4} - \frac{7}{4} i, a_{2} = \frac{3}{4} + \frac{7}{4} i

Alternative Form

a_{1} \approx 0.75 - 0.661438 i, a_{2} \approx 0.75 + 0.661438 i

Find the roots