The difference of the two solutions of x^2+19x+c=0 is 15. Find c.

The value of is 34.

It is given that,

Explanation:

Let and are two solutions of the given equation.

          ...(i)

The sum of solutions of is . So,

         ...(ii)

Adding (i) and (ii), we get

Substitute in (ii).

The product of solutions of is . So,

Thus, the value of is 34.

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34

Step-by-step explanation:

For a quadratic equation ax² + bx + c = 0, the sum of the roots is -b/a, and the product of the roots is c/a.

If we say the roots are p and q, then:

p + q = -19/1

pq = c/1

The difference of the roots is 15:

p − q = 15

Add to the first equation:

2p = -4

p = -2

Which means the value of q is -17.

So the value of c is (-2)(-17) = 34.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743