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Standard X

Mathematics

Sum and Product of Roots of a Quadratic Equation

If one root o...

Question

If one root of the equations ${a x}^{2} + b x + c = 0$ and $x^{2} + x + 1 = 0$ is common then

a + b + c = 0

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a = b = c

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a = b o r b = c o r c = a

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None of these

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Solution

The correct options are
B $a = b = c$
C $a = b o r b = c o r c = a$

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If one root of the equations ax2+bx+c=0 and x2+x+1=0 is common then

The correct options are B a=b=c C a=borb=corc=a

If one root of the equations ${a x}^{2} + b x + c = 0$ and $x^{2} + x + 1 = 0$ is common then

The correct options are
B $a = b = c$
C $a = b o r b = c o r c = a$