solve this problem
By factorising method
99x^2 - 220 x +99=0
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Step-by-step explanation:
99x2−99x=198
⟹99x2−99x−198=0
⟹99(x2−x−2)=0
For a quadratic equation x2+bx+c=0 and roots α,β we know that b is their sum and c their product, now we have to find two numbers that satisfy α+β=−1 and αβ=−2, by trial and error we find that these numbers are 1 and −2
Knowing that, the equation becomes:
99(x+1)(x−2)=0
⟹x+1=0,x−2=0
⟹x=−1,2
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