Solve 7q 17q-14q-8q=14

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

q_{1} = \frac{11 - 1787}{119}, q_{2} = \frac{11 + 1787}{119}

Alternative Form

q_{1} \approx - 0.262798, q_{2} \approx 0.447672

Evaluate

7 q \times 17 q - 14 q - 8 q = 14

Simplify

More Steps

119 q^{2} - 22 q = 14

Move the expression to the left side

119 q^{2} - 22 q - 14 = 0

Substitute a= 119,b= - 22 and c= - 14 into the quadratic formula q = \frac{- b \pm b ^{2} - 4 a c}{2 a}

q = \frac{22 \pm ( - 22 ) ^{2} - 4 \times 119 ( - 14 )}{2 \times 119}

Simplify the expression

q = \frac{22 \pm ( - 22 ) ^{2} - 4 \times 119 ( - 14 )}{238}

Simplify the expression

More Steps

q = \frac{22 \pm 7148}{238}

Simplify the radical expression

More Steps

q = \frac{22 \pm 2 1787}{238}

Separate the equation into 2 possible cases

q = \frac{22 + 2 1787}{238} q = \frac{22 - 2 1787}{238}

Simplify the expression

More Steps

q = \frac{11 + 1787}{119} q = \frac{22 - 2 1787}{238}

Simplify the expression

More Steps

q = \frac{11 + 1787}{119} q = \frac{11 - 1787}{119}

Solution

q_{1} = \frac{11 - 1787}{119}, q_{2} = \frac{11 + 1787}{119}

Alternative Form

q_{1} \approx - 0.262798, q_{2} \approx 0.447672

Show Solution