Solve 10a 75a-27a-4

Evaluate

10 a \times 75 a - 27 a - 4

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

10 a \times 75 a - 27 a - 4 = 0

Multiply

More Steps

750 a^{2} - 27 a - 4 = 0

Substitute a= 750,b= - 27 and c= - 4 into the quadratic formula a = \frac{- b \pm b ^{2} - 4 a c}{2 a}

a = \frac{27 \pm ( - 27 ) ^{2} - 4 \times 750 ( - 4 )}{2 \times 750}

Simplify the expression

a = \frac{27 \pm ( - 27 ) ^{2} - 4 \times 750 ( - 4 )}{1500}

Simplify the expression

More Steps

a = \frac{27 \pm 12729}{1500}

Separate the equation into 2 possible cases

a = \frac{27 + 12729}{1500} a = \frac{27 - 12729}{1500}

Solution

a_{1} = \frac{27 - 12729}{1500}, a_{2} = \frac{27 + 12729}{1500}

Alternative Form

a_{1} \approx - 0.057215, a_{2} \approx 0.093215

Simplify the expression