2X2– 50 = 2(X2– 25) = 2(X + 5)(X – 5) FIRST TAKE OUT THE COMMON FAC...

4. 2x

²

– 50 = 2(x

²

– 25) = 2(x + 5)(x – 5) First take out the common factor and then factor the differencebetween two squares.

S o l v i n g Q u a d r a t i c E q u a t i o n s

An equation in the form y= ax

²

+ bx+ c, where a,b, and care real numbers, is a quadratic equation. In otherwords, the greatest exponent on xis two.

3 4 4

Quadratic equations can be solved in two ways: factoring, if it is possible for that equation, or using thequadratic formula.By FactoringIn order to factor the quadratic equation, it first needs to be in standard form. This form is y= ax

²

+bx +c.In most cases, the factors of the equations involve two numbers whose sum isband product is c.

Examples

Solve for xin the following equation: