Solving Quadratics and Exact Values Solving Quadratic Equations

Solving Quadratic Equations by Factoring ok Let's solve the equation 1 need this to

Extracting Square Roots The idea behind this method is when you have some "stuff"

Let's try another one Get the "squared stuff" alone which in this case is

Another Example Get the "squared stuff" alone which in this case is the stuff

One Last Example Get the "squared stuff" alone which in this case is the

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Solving Quadratics and Exact Values

Solving Quadratic Equations by Factoring ok Let's solve the equation 1 need this to be 0 ok -18 First you need to get it in what we call "quadratic form" which means So we have Now let's factor the left hand side Now set each factor = 0 and solve for each answer.

Extracting Square Roots The idea behind this method is when you have some "stuff" squared that you can get by itself on the left hand side of the equation (no other variables on the right hand side), you can then take the square root of each side to cancel out the square. 25 Get the "squared stuff" alone which in this case is the t 2 5 5 Now square root each side. Since you loose any negative sign when you square something, both the + and – of the number would solve the equation so you must do both.

Let's try another one Get the "squared stuff" alone which in this case is the u 2 4 4 Now square root each side and DON'T FORGET BOTH THE + AND – Remember with a fraction you can square root the top and square root the bottom

Another Example Get the "squared stuff" alone which in this case is the stuff in the brackets and it is alone. Now square root each side and 25 × 2 DON'T FORGET BOTH THE + AND – Let's simplify the Surd -1 2 Now solve for x -1 2

One Last Example Get the "squared stuff" alone which in this case is the stuff in the brackets. -25 Now square root each side and DON'T FORGET BOTH THE + AND – This will give you an i +3 2 Year 12 Calculus +3 Now solve for y 2