Solve 45000-3b^449

Question

Simplify the expression

45000 - 147 b^{4}

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3 (15000 - 49 b^{4})

Show Solution

b_{1} = - \frac{5 4 1176}{7}, b_{2} = \frac{5 4 1176}{7}

Alternative Form

b_{1} \approx - 4.182864, b_{2} \approx 4.182864

Evaluate

45000 - 3 b^{4} \times 49

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

45000 - 3 b^{4} \times 49 = 0

Multiply the terms

45000 - 147 b^{4} = 0

Move the constant to the right-hand side and change its sign

- 147 b^{4} = 0 - 45000

Removing 0 doesn't change the value,so remove it from the expression

- 147 b^{4} = - 45000

Change the signs on both sides of the equation

147 b^{4} = 45000

Divide both sides

\frac{147 b ^{4}}{147} = \frac{45000}{147}

Divide the numbers

b^{4} = \frac{45000}{147}

Cancel out the common factor 3

b^{4} = \frac{15000}{49}

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

b = \pm 4 \frac{15000}{49}

Simplify the expression

More Steps

b = \pm \frac{5 4 1176}{7}

Separate the equation into 2 possible cases

b = \frac{5 4 1176}{7} b = - \frac{5 4 1176}{7}

Solution

b_{1} = - \frac{5 4 1176}{7}, b_{2} = \frac{5 4 1176}{7}

Alternative Form

b_{1} \approx - 4.182864, b_{2} \approx 4.182864

Show Solution