Examples 111
Solve the following differential equations:
1. p2 + p - 2 = 0;
Answers
हिंदी में खोजें
p2 पी 2 0
How to solve your problem
2
+
−
2
=
0
p^{2}+p-2=0
p2+p−2=0
Quadratic formula
Factor
1
Use the quadratic formula
=
−
±
2
−
4
√
2
p=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
p=2a−b±b2−4ac
Once in standard form, identify a, b and c from the original
first collect like terms.
2p + p - 2 = 0
→ 3p - 2 = 0
then we move the constant to the other side and change it's sign.
→ 3p = 0 + 2
→ 3p =2
Now for the last step , read the explanation properly. Since you can see the question was p2 + p - 2 = 0 , so here the "2p" is in multiplication form and the rule is that when we change the places we Also have to change the sign. hence -
→ p = 2
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3
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