Square root property: Difference between revisions

Latest revision as of 22:55, 15 May 2014

The square root property is a method for solving quadratic equations.

First we must convert the quadratic to either the form $ax^2=b$ or $(yx+z)^2=w$ .

$x^2=18$

take the square root of both sides

$x=\pm\sqrt{18}$

so the roots are $\sqrt{18}$ and $-\sqrt{18}$ .

$(3x+4)^2=5$

take the square root of both sides

$3x+4=\pm\sqrt{5}$

isolate $x$

$x=\frac{\pm\sqrt{5}-4}{3}$

and those are the roots.

@@ Line 7: / Line 7: @@
 ===First format===
-<math>x^2=18</math> take the square root of both sides
+<math>x^2=18</math>
+take the square root of both sides
 <math>x=\pm\sqrt{18}</math>
@@ Line 14: / Line 17: @@
 ===Second format===
-<math>(3x+4)^2=5</math> take the square root of both sides
+<math>(3x+4)^2=5</math>
-<math>3x+4=\pm\sqrt{5}</math> isolate <math>x</math>
+take the square root of both sides
+<math>3x+4=\pm\sqrt{5}</math>
+isolate <math>x</math>
 <math>x=\frac{\pm\sqrt{5}-4}{3}</math>
 and those are the roots.