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Grade 11Trigonometry

if the roots of ax2 + x + b =0 are real and distinct, then roots of x2 – 4 square root of ab x + 1 = 0 will be (a) rational (b) irrational © real (d) imaginary. pl. show the working

Profile image of Aida Pereira
6 Years agoGrade 11
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1 Answer

Profile image of Vikas TU
6 Years ago
Dear student 
If ax^2+x+b=0 has unequal real roots, then it means that its discriminant is positive, that is,
1-4ab > 0 
so, 4ab
x^2−4abx+1=0 ,whose discriminant would be (4ab)^2–4.
Since  4ab