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

Evaluate

4 x^{2} - 3 x + 4

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

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

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

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

Simplify the expression

x = \frac{3 \pm ( - 3 ) ^{2} - 4 \times 4 \times 4}{8}

Simplify the expression

More Steps

x = \frac{3 \pm - 55}{8}

Simplify the radical expression

More Steps

x = \frac{3 \pm 55 \times i}{8}

Separate the equation into 2 possible cases

x = \frac{3 + 55 \times i}{8} x = \frac{3 - 55 \times i}{8}

Simplify the expression

x = \frac{3}{8} + \frac{55}{8} i x = \frac{3 - 55 \times i}{8}

Simplify the expression

x = \frac{3}{8} + \frac{55}{8} i x = \frac{3}{8} - \frac{55}{8} i

Solution

x_{1} = \frac{3}{8} - \frac{55}{8} i, x_{2} = \frac{3}{8} + \frac{55}{8} i

Alternative Form

x_{1} \approx 0.375 - 0.927025 i, x_{2} \approx 0.375 + 0.927025 i

Find the roots