Which system of equations can be used to find the roots of the equation 4x^2=x^3+2x a: {y=-4x^2} {y=x^3+2x} b: {y=x^3+4x^2x} {y=0} c: {y=4x^2} {y=-x^3-2x} d: {y=4x^2} {y=x^3+2x} answer clearly

The given equation is 4x^2=x^3+2x.

On the left side it has 4x² and on the right side the expression is x³+2x.

So, if we have any system of equations in which we have these two expression which will be equal to any other variable then we can use that system of equations to find the roots.

Now notice that in option D it's given,

y=4x² and y=x³+2x.

So, if we will equate this equations then we will get the same above equation which will be use to find the roots.

So, D is the correct choice.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

answer: 12

step-by-step explanation:

because yes