Solve 2-16t=6(-3t^2) - ScanMath

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Type your math problem... 2-16t=6(-3t^2)

Question

Solve the quadratic equation

Solve using the quadratic formula

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Solve by completing the square

Solve using the PQ formula

t_{1} = \frac{4 - 7}{9}, t_{2} = \frac{4 + 7}{9}

Alternative Form

t_{1} \approx 0.150472, t_{2} \approx 0.738417

Evaluate

2 - 16 t = 6 (- 3 t^{2})

Multiply the numbers

More Steps

2 - 16 t = - 18 t^{2}

Swap the sides

- 18 t^{2} = 2 - 16 t

Move the expression to the left side

- 18 t^{2} - 2 + 16 t = 0

Rewrite in standard form

- 18 t^{2} + 16 t - 2 = 0

Multiply both sides

18 t^{2} - 16 t + 2 = 0

Substitute a= 18,b= - 16 and c= 2 into the quadratic formula t = \frac{- b \pm b ^{2} - 4 a c}{2 a}

t = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 18 \times 2}{2 \times 18}

Simplify the expression

t = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 18 \times 2}{36}

Simplify the expression

More Steps

t = \frac{16 \pm 112}{36}

Simplify the radical expression

More Steps

t = \frac{16 \pm 4 7}{36}

Separate the equation into 2 possible cases

t = \frac{16 + 4 7}{36} t = \frac{16 - 4 7}{36}

Simplify the expression

More Steps

t = \frac{4 + 7}{9} t = \frac{16 - 4 7}{36}

Simplify the expression

More Steps

t = \frac{4 + 7}{9} t = \frac{4 - 7}{9}

Solution

t_{1} = \frac{4 - 7}{9}, t_{2} = \frac{4 + 7}{9}

Alternative Form

t_{1} \approx 0.150472, t_{2} \approx 0.738417

Show Solution

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