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x = 13/11 & x = 17/19

Hence

x - 13/11 = 0 & x - 17/19 = 0

We now form a quadratic equation from these two linear equations.

(x - 13/11)(x - 17/19) = 0

Using FOIL multiply out.

F(First ; x X x = x^2

O(Outside) ; x X -17/19 = -17x/19

I(Inside ; -13/11 X x = -13x/11

L(Last ; -13/11 X -17/19 = (+)221/209

Hence the equation becomes

x^2 - (17/19 + 13/11)x + 221/209

Add the fraction in 'x'

x^2 - 434x/209 + 221/209 = 0

This is the quadratic eq'n. However, we can remove the denominator of '209' by multiplying through;-

209x^2 - 434x + 221 = 0

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lenpollock

Lvl 16
2y ago

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