25 p ² + 70p+49=0
Answer please
Answer please

744

Step-by-step explanation:

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Simplifying

25p2 + 70p + 49 = 0

Reorder the terms:

49 + 70p + 25p2 = 0

Solving

49 + 70p + 25p2 = 0

Solving for variable 'p'.

Factor a trinomial.

(7 + 5p)(7 + 5p) = 0

Subproblem 1

Set the factor '(7 + 5p)' equal to zero and attempt to solve:

Simplifying

7 + 5p = 0

Solving

7 + 5p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 5p = 0 + -7

Combine like terms: 7 + -7 = 0

0 + 5p = 0 + -7

5p = 0 + -7

Combine like terms: 0 + -7 = -7

5p = -7

Divide each side by '5'.

p = -1.4

Simplifying

p = -1.4

Subproblem 2

Set the factor '(7 + 5p)' equal to zero and attempt to solve:

Simplifying

7 + 5p = 0

Solving

7 + 5p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 5p = 0 + -7

Combine like terms: 7 + -7 = 0

0 + 5p = 0 + -7

5p = 0 + -7

Combine like terms: 0 + -7 = -7

5p = -7

Divide each side by '5'.

p = -1.4

Simplifying

p = -1.4

Solution

p = {-1.4, -1.4}

(a) the volume of the cone is 20/3 in3

hence, option a is correct.