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Finding the roots of quadratic equations
Description
10MAT1 Mind Map on Finding the roots of quadratic equations, created by fiona.pain on 04/09/2013.
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10mat1
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fiona.pain
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fiona.pain
almost 11 years ago
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Resource summary
Finding the roots of quadratic equations
x(x-4) = 0
x=0
x-4=0 which means x=4
OR
3x^2 - 7 = 0
Manipulate the equation so x^2 = 7/3
therefore x= +/- sq root 7/3
x^2-10x+21=0
cross method if possible
(x-7)(x-3)=0
x-7=0 ...x=7
OR
x-3=0 ...x=3
When all else fails, use the quadratic equation
Remember the coefficients are substituted NOT the terms
Don't be lazy ... Formula line, Substitution line, then start to work it out
Completing the square
halve the x term & square it
add it to both sides of the eqation
then it becomes something like the method in the centre top
manipulate the equation so coeffient of x^2 is +1
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