x^2 - 7x - 9
a=1, b=-7, c=-9
Quadratic ormula: x=(-b+-sqrt(b^2-4ac))/(2a)
=(-(-7)+-sqrt((-7)^2-4(1)(-9)))/(2(1))
=(7+-sqrt(49+36))/2
=(7+-sqrt85)/2
x=(7+sqrt85)/2, (7-sqrt85)/2

Question

asked 2021-02-11

Factoring is used to solve quadratics of the form \(\displaystyle{a}{x}^{{2}}+{b}{x}+{c}={0}\) when th eroots are rational. Find the roots of the following quadratic functions by factoring:

a) \(\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}-{5}{x}-{14}\)

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b) \(\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}-{64}\)

c) \(\displaystyle{f{{\left({x}\right)}}}{6}{x}^{{2}}+{7}{x}-{3}\)

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