Solve 2x^2-4x=t - ScanMath

Question

Solve the equation

Solve for x

Solve for t

x = \frac{2 + 4 + 2 t}{2} x = \frac{2 - 4 + 2 t}{2}

Evaluate

2 x^{2} - 4 x = t

Move the expression to the left side

2 x^{2} - 4 x - t = 0

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

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

Simplify the expression

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

Simplify the expression

More Steps

x = \frac{4 \pm 16 + 8 t}{4}

Simplify the radical expression

More Steps

x = \frac{4 \pm 2 4 + 2 t}{4}

Separate the equation into 2 possible cases

x = \frac{4 + 2 4 + 2 t}{4} x = \frac{4 - 2 4 + 2 t}{4}

Simplify the expression

More Steps

x = \frac{2 + 4 + 2 t}{2} x = \frac{4 - 2 4 + 2 t}{4}

Solution

More Steps

x = \frac{2 + 4 + 2 t}{2} x = \frac{2 - 4 + 2 t}{2}

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