6x2 - x - 2 = 0
solve by factorisation method
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62−−2=0
62−−2=0
6x^{2}-x-2=06x2−x−2=0
=6
a={\color{#c92786}{6}}a=6
=−1
b={\color{#e8710a}{-1}}b=−1
=−2
c={\color{#129eaf}{-2}}c=−2
=−(−1)±(−1)2−4⋅6(−2)√2⋅6
x=\frac{-({\color{#e8710a}{-1}}) \pm \sqrt{({\color{#e8710a}{-1}})^{2}-4 \cdot {\color{#c92786}{6}}({\color{#129eaf}{-2}})}}{2 \cdot {\color{#c92786}{6}}}x=2⋅6−(−1)±(−1)2−4⋅6(−2)
2
=−±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.
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