What is the answer to 45=5(-1-7p)^{2/3} ?

The answer to 45=5(-1-7p)^{2/3} is p=-4,p= 26/7

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45=5(-1-7p)^{2/3}

45 = 5 (- 1 - 7 p)^{\frac{2}{3}}

p = - 4, p = \frac{26}{7}

Decimal Notation

p = - 4, p = 3.71428 \dots

Solution steps

45 = 5 (- 1 - 7 p)^{\frac{2}{3}}

Switch sides

5 (- 1 - 7 p)^{\frac{2}{3}} = 45

Divide both sides by

5

(- 1 - 7 p)^{\frac{2}{3}} = 9

Take both sides of the equation to the power of

3 : (- 1 - 7 p)^{2} = 729

(- 1 - 7 p)^{2} = 729

Solve

(- 1 - 7 p)^{2} = 729 : p = - 4, p = \frac{26}{7}

p = - 4, p = \frac{26}{7}

Verify Solutions:

p = - 4

True

, p = \frac{26}{7}

True

The solutions are

p = - 4, p = \frac{26}{7}

- 4 x - 3 = 12

8 x = 100 + 100 x

x^{2} - 2 2 x + 2 = 0

- 1 + 3 x - 8 = 7

a - 3 - 1 = 2

What is the answer to 45=5(-1-7p)^{2/3} ?
The answer to 45=5(-1-7p)^{2/3} is p=-4,p= 26/7
Solve for p: 45=5(-1-7p)^{2/3}
The solution is p=-4,p= 26/7