Solve e^67e-b1b - ScanMath

Question

Simplify the expression

7 e^{7} - b^{2}

Evaluate

e^{6} \times 7 e - b \times 1 \times b

Multiply

More Steps

Multiply the terms

e^{6} \times 7 e

Multiply the terms with the same base by adding their exponents

e^{6 + 1} \times 7

Add the numbers

e^{7} \times 7

Multiply the numbers

7 e^{7}

7 e^{7} - b \times 1 \times b

Solution

More Steps

Multiply the terms

b \times 1 \times b

Rewrite the expression

b \times b

Multiply the terms

b^{2}

7 e^{7} - b^{2}

Show Solution

b_{1} = - e^{3} 7 e, b_{2} = e^{3} 7 e

Alternative Form

b_{1} \approx - 87.61525, b_{2} \approx 87.61525

Evaluate

e^{6} \times 7 e - b \times 1 \times b

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

e^{6} \times 7 e - b \times 1 \times b = 0

Multiply

More Steps

Multiply the terms

e^{6} \times 7 e

Multiply the terms with the same base by adding their exponents

e^{6 + 1} \times 7

Add the numbers

e^{7} \times 7

Multiply the numbers

7 e^{7}

7 e^{7} - b \times 1 \times b = 0

Multiply the terms

More Steps

Multiply the terms

b \times 1 \times b

Rewrite the expression

b \times b

Multiply the terms

b^{2}

7 e^{7} - b^{2} = 0

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

- b^{2} = 0 - 7 e^{7}

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

- b^{2} = - 7 e^{7}

Change the signs on both sides of the equation

b^{2} = 7 e^{7}

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

b = \pm 7 e^{7}

Simplify the expression

More Steps

Evaluate

7 e^{7}

Rewrite the expression

7 \times e^{7}

Simplify the root

e^{3} 7 e

b = \pm e^{3} 7 e

Separate the equation into 2 possible cases

b = e^{3} 7 e b = - e^{3} 7 e

Solution

b_{1} = - e^{3} 7 e, b_{2} = e^{3} 7 e

Alternative Form

b_{1} \approx - 87.61525, b_{2} \approx 87.61525

Show Solution