solve the equation 21x^2-4x+10=0
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Answer:
2 1 2 − 4 + 1 0 = 0
Step-by-step explanation:
Use the quadratic formula
=
−
±
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
1
2
−
4
+
1
0
=
0
21x^{2}-4x+10=0
21x2−4x+10=0
=
2
1
a={\color{#c92786}{21}}
a=21
=
−
4
b={\color{#e8710a}{-4}}
b=−4
=
1
0
c={\color{#129eaf}{10}}
c=10
=
− ( − 4 ) ± ( − 4 ) 2 − 4 ⋅ 2 1 ⋅ 1 0 √2 ⋅ 2 1
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