Solve d* d- 14 = 38 d

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

d_{1} = 19 - 515, d_{2} = 19 + 515

Alternative Form

d_{1} \approx - 0.364917, d_{2} \approx 38.364917

Evaluate

d \times d - 14 = 38 d

Multiply the terms

d^{2} - 14 = 38 d

Move the expression to the left side

d^{2} - 14 - 38 d = 0

Rewrite in standard form

d^{2} - 38 d - 14 = 0

Substitute a= 1,b= - 38 and c= - 14 into the quadratic formula d = \frac{- b \pm b ^{2} - 4 a c}{2 a}

d = \frac{38 \pm ( - 38 ) ^{2} - 4 ( - 14 )}{2}

Simplify the expression

More Steps

d = \frac{38 \pm 1500}{2}

Simplify the radical expression

More Steps

d = \frac{38 \pm 10 15}{2}

Separate the equation into 2 possible cases

d = \frac{38 + 10 15}{2} d = \frac{38 - 10 15}{2}

Simplify the expression

More Steps

d = 19 + 515 d = \frac{38 - 10 15}{2}

Simplify the expression

More Steps

d = 19 + 515 d = 19 - 515

Solution

d_{1} = 19 - 515, d_{2} = 19 + 515

Alternative Form

d_{1} \approx - 0.364917, d_{2} \approx 38.364917

Show Solution