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Question

Question: If\(3ax^{2} + 2bx + c = 0\lbrack - 1,0\rbrack\), then both the roots of the equation \(ax^{2} + bx +...

If3ax2+2bx+c=0[1,0]3ax^{2} + 2bx + c = 0\lbrack - 1,0\rbrack, then both the roots of the equation ax2+bx+c=0ax^{2} + bx + c = 0 are.

A

Rational

B

Non-real

C

Irrational

D

Zero

Answer

Rational

Explanation

Solution

x2+x+1=0x^{2} + x + 1 = 0 α,β\alpha,\beta

x2+px+q=0x^{2} + px + q = 0

Hence roots are rational.