Solve 2(s-1) 8s=-72

Question

Solve the equation(The real numbers system)

s \in / R

Alternative Form

No real solution

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Solve using the quadratic formula in the complex numbers system

Solve by completing the square in the complex numbers system

Solve using the PQ formula in the complex numbers system

s_{1} = \frac{1}{2} - \frac{17}{2} i, s_{2} = \frac{1}{2} + \frac{17}{2} i

Alternative Form

s_{1} \approx 0.5 - 2.061553 i, s_{2} \approx 0.5 + 2.061553 i

Evaluate

2 (s - 1) \times 8 s = - 72

Multiply

More Steps

16 s (s - 1) = - 72

Expand the expression

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16 s^{2} - 16 s = - 72

Move the expression to the left side

16 s^{2} - 16 s + 72 = 0

Substitute a= 16,b= - 16 and c= 72 into the quadratic formula s = \frac{- b \pm b ^{2} - 4 a c}{2 a}

s = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 16 \times 72}{2 \times 16}

Simplify the expression

s = \frac{16 \pm ( - 16 ) ^{2} - 4 \times 16 \times 72}{32}

Simplify the expression

More Steps

s = \frac{16 \pm - 4352}{32}

Simplify the radical expression

More Steps

s = \frac{16 \pm 16 17 \times i}{32}

Separate the equation into 2 possible cases

s = \frac{16 + 16 17 \times i}{32} s = \frac{16 - 16 17 \times i}{32}

Simplify the expression

More Steps

s = \frac{1}{2} + \frac{17}{2} i s = \frac{16 - 16 17 \times i}{32}

Simplify the expression

More Steps

s = \frac{1}{2} + \frac{17}{2} i s = \frac{1}{2} - \frac{17}{2} i

Solution

s_{1} = \frac{1}{2} - \frac{17}{2} i, s_{2} = \frac{1}{2} + \frac{17}{2} i

Alternative Form

s_{1} \approx 0.5 - 2.061553 i, s_{2} \approx 0.5 + 2.061553 i

Show Solution