Solve 174h^2= 1-5h

Evaluate

174 h^{2} = 1 - 5 h

Move the expression to the left side

174 h^{2} - 1 + 5 h = 0

Rewrite in standard form

174 h^{2} + 5 h - 1 = 0

Substitute a= 174,b= 5 and c= - 1 into the quadratic formula h = \frac{- b \pm b ^{2} - 4 a c}{2 a}

h = \frac{- 5 \pm 5 ^{2} - 4 \times 174 ( - 1 )}{2 \times 174}

Simplify the expression

h = \frac{- 5 \pm 5 ^{2} - 4 \times 174 ( - 1 )}{348}

Simplify the expression

More Steps

h = \frac{- 5 \pm 721}{348}

Separate the equation into 2 possible cases

h = \frac{- 5 + 721}{348} h = \frac{- 5 - 721}{348}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

h = \frac{- 5 + 721}{348} h = - \frac{5 + 721}{348}

Solution

h_{1} = - \frac{5 + 721}{348}, h_{2} = \frac{- 5 + 721}{348}

Alternative Form

h_{1} \approx - 0.091527, h_{2} \approx 0.062792

Solve the quadratic equation