Solving basic or simple quadratics involves using algebraic manipulation, the easiest way to see these is to look at a few examples.
Examples
Question 1
Solve, $x^2-36=0$x2−36=0
Think: Identify the order of operations necessary to isolate the $x$x variable. In this case we will deal with the subtraction then the square in that order.
Do
$x^2-36=0$x2−36=0
1) Use inverse operations to remove the$-36$−36 from the LHS. The opposite of a $-36$−36 is a $+$+$36$36
$x^2=36$x2=36
2) Use inverse operations to remove the square from the left hand side. The opposite of a square operation is a square root operation.
$x=6$x=6 or $x=-6$x=−6
Remember that all square roots can have a positive or negative answer. The solution for $x$x can also be written as $x=\pm6$x=±6.
Just to remind you, What is $4^2$42 and what is $\left(-4\right)^2$(−4)2? Hence $\sqrt{16}=\pm4$√16=±4
Question 2
Solve for $y$y: $3y^2=75$3y2=75
Question 3
Solve for $k$k: $-3k^2=-75$−3k2=−75