Solve the quadratic equation x2 - x = 30 by completing the square

A

Step-by-step explanation:

Given

x² - x = 30

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- )x + = 30 +

(x - )² =

Take the square root of both sides

x - = ± = ±

Add to both sides

x = ± , thus

x = - = - 5

x = + = 6

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.