What is the solution set of x2 – 10 = 30x?

So for this, I will be completing the square to solve for x. Firstly, add 10 and subtract 30x on both sides of the equation:

Next, we want to make the left side of the equation a perfect square. To find the constant of this soon-to-be perfect square, divide the x coefficient by 2 and square the quotient. Once you get that result, add it to both sides of the equation:

Now, factor the left side:

Next, square root both sides:

Now, add 15 to both sides of the equation:

This is the exact solution. To find the approximate solution, solve the left side twice -- once with the plus sign, once with the minus sign:

In short:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.