solve the following using factorisation: 5(x/x+1)^2 - 4(x/x+1) -1=0, x ≠ -1
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Answer:
Quadratic equation:
ax²+bx+c=0; a,b,c € R
=
− ±
2
− 4
2
If b²-4ac > 0, it has two real roots
If b²-4ac = 0, it has a unique root
If b²-4ac < 0, it does not have a real root
.
Special cases of quadratic equation
Given ax²+2bx+c=0;
=
−±
2
−
Viet theorem:
x²+px+q=0;
1 + 2 = −
1 ∗ 2 =
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