Solve 9(b-2) b=52 - ScanMath

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Type your math problem... 9(b-2) b=52

Question

Solve the quadratic equation

Solve using the quadratic formula

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Solve by completing the square

Solve using the PQ formula

b_{1} = \frac{3 - 61}{3}, b_{2} = \frac{3 + 61}{3}

Alternative Form

b_{1} \approx - 1.603417, b_{2} \approx 3.603417

Evaluate

9 (b - 2) b = 52

Multiply the terms

9 b (b - 2) = 52

Expand the expression

More Steps

9 b^{2} - 18 b = 52

Move the expression to the left side

9 b^{2} - 18 b - 52 = 0

Substitute a= 9,b= - 18 and c= - 52 into the quadratic formula b = \frac{- b \pm b ^{2} - 4 a c}{2 a}

b = \frac{18 \pm ( - 18 ) ^{2} - 4 \times 9 ( - 52 )}{2 \times 9}

Simplify the expression

b = \frac{18 \pm ( - 18 ) ^{2} - 4 \times 9 ( - 52 )}{18}

Simplify the expression

More Steps

b = \frac{18 \pm 2196}{18}

Simplify the radical expression

More Steps

b = \frac{18 \pm 6 61}{18}

Separate the equation into 2 possible cases

b = \frac{18 + 6 61}{18} b = \frac{18 - 6 61}{18}

Simplify the expression

More Steps

b = \frac{3 + 61}{3} b = \frac{18 - 6 61}{18}

Simplify the expression

More Steps

b = \frac{3 + 61}{3} b = \frac{3 - 61}{3}

Solution

b_{1} = \frac{3 - 61}{3}, b_{2} = \frac{3 + 61}{3}

Alternative Form

b_{1} \approx - 1.603417, b_{2} \approx 3.603417

Show Solution

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