find the nature of roots of the quadratic equation : 2(a 2 +b 2 )x 2 +2(a+b)x+1=0. will the roots be real and distinct or imaginary ?

Question

Ravi · Answer

When D is calculated, it will give D<0 as D= -4(a-b)2or rather the square of a prely imaginary number.
So roots will be imaginary and conjuagates of each other.
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find the nature of roots of the quadratic equation : 2(a 2 +b 2 )x 2 +2(a+b)x+1=0. will the roots be real and distinct or imaginary ?

find the nature of roots of the quadratic equation : 2(a²+b²)x²+2(a+b)x+1=0. will the roots be real and distinct or imaginary ?

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find the nature of roots of the quadratic equation : 2(a 2 +b 2 )x 2 +2(a+b)x+1=0. will the roots be real and distinct or imaginary ?

find the nature of roots of the quadratic equation : 2(a2+b2)x2+2(a+b)x+1=0. will the roots be real and distinct or imaginary ?

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find the nature of roots of the quadratic equation : 2(a²+b²)x²+2(a+b)x+1=0. will the roots be real and distinct or imaginary ?