Solve b10b8:63-8 - ScanMath

Question

Simplify the expression

\frac{80 b ^{2} - 504}{63}

Show Solution

b_{1} = - \frac{3 70}{10}, b_{2} = \frac{3 70}{10}

Alternative Form

b_{1} \approx - 2.50998, b_{2} \approx 2.50998

Evaluate

b \times 10 b \times 8 \div 63 - 8

To find the roots of the expression,set the expression equal to 0

b \times 10 b \times 8 \div 63 - 8 = 0

Multiply

More Steps

80 b^{2} \div 63 - 8 = 0

Rewrite the expression

\frac{80 b ^{2}}{63} - 8 = 0

Subtract the terms

More Steps

\frac{80 b ^{2} - 504}{63} = 0

Simplify

80 b^{2} - 504 = 0

Move the constant to the right side

80 b^{2} = 504

Divide both sides

\frac{80 b ^{2}}{80} = \frac{504}{80}

Divide the numbers

b^{2} = \frac{504}{80}

Cancel out the common factor 8

b^{2} = \frac{63}{10}

Take the root of both sides of the equation and remember to use both positive and negative roots

b = \pm \frac{63}{10}

Simplify the expression

More Steps

b = \pm \frac{3 70}{10}

Separate the equation into 2 possible cases

b = \frac{3 70}{10} b = - \frac{3 70}{10}

Solution

b_{1} = - \frac{3 70}{10}, b_{2} = \frac{3 70}{10}

Alternative Form

b_{1} \approx - 2.50998, b_{2} \approx 2.50998

Show Solution