1. Find the roots of the quadratic equation x2 - 7x = 0
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Answer:
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
2
−
7
=
0
x^{2}-7x=0
x2−7x=0
=
1
a={\color{#c92786}{1}}
a=1
=
−
7
b={\color{#e8710a}{-7}}
b=−7
=
0
c={\color{#129eaf}{0}}
c=0
=
−
(
−
7
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±
(
−
7
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2
−
4
⋅
1
⋅
0
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