x=4=36-12x + X^2 Move the expression to the left x-4-36+12x-x^2=0 Collect like terms Calculate 13x-40-x^2=0 Reorder the terms
-x^2+13x-40 = 0 Change the signs -x^2+13x+40=0 Rewrite the expression x^2-5x-8×+40=0 Factor the expressions x•( x-5)-8(x-5 )=0 Factor the expression (x-5)•(x-8)=0 Separate into possible cases x-5=0 x-8=0 Solve the equations x=5 x=8 Check the solutions 6=6 10=6 x=5 is a solution x=8 is not a solution
<h2><u>Radical Equations</u></h2><h3>Solve algebraically for all x values</h3>
√(x - 4) + x = 6
To solve for x, make sure to remove first the radical sign before simplifying. To remove the radical sign (since it is square root) raise each side of the equation with an exponent of 2.
Solve for the first variable in one of the equations, then substitute the result into the other equation. Point Form: (3, 0) Equation Form: x = 3, y = 0
