solve the quadratic equation x2 – 14x + 40 = 0
factor \[x^2-14x+40\]
do you know how to factor? :)
nooo
okay well ill show you :)
THis will help you learn in no time: http://www.khanacademy.org/math/algebra/quadtratics/v/solving-quadratic-equations-by-factoring-avi
so we're looking for two binomials that, when multiplied, equal the trinomial x^2-14x+40 so first we need to find two numbers that multiply to give us the coefficient of the first term and add to give us the coefficient of the second term: \[-4 \times-10=40\]\[-4-10=-14\] so we use these two numbers, -4 and -10, and create two binomials: \[(x-4)(x-10)\] now that you've factored you have \[(x-4)(x-10)=0\]so we set those two binomials to zero and solve for x\[x-4=0~~\rightarrow~~x=4\]\[x-10=0~~\rightarrow~~x=10\] so your two solutions are:\[x=4~~or~~x=10\]
Thanks so much
your welcome :)
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