Which are the solutions of x^2 = –11x + 4?

This is a quadratic equation, i.e. an equation involving a polynomial of degree 2. To solve them, you must rearrange them first, so that all terms are on the same side, so we get



i.e. now we're looking for the roots of the polynomial. To find them, we can use the following formula:



where is a compact way to indicate both solutions and , while are the coefficients of the quadratic equation, i.e. we consider the polynomial .

So, in your case, we have

Plug those values into the formula to get



So, the two solutions are

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.

for this case we have that by definition, the volume of a cylinder is given by:

where:

r: it's the radio

h: it's the height

we have as data that:

substituting:

so, the cylinder volume is

option d