find Nature of Root
B2x2 +2ABX+a^2=0
Answers
Answered by
5
Answer: B2 – 4AC < 0
Step-by-step explanation:
Solution:
Given quadratic equation: 2(a2 +b2)x2 + 2 (a+b)x + 1 = 0
If the quadratic equation is of the form AX2 + BX + C = 0 then the discriminant = B2 – 4AC
From the given equation:
A = 2(a2 +b2), B = 2(a+b) and C = 1
Now,
Discriminant of the given equation is given by:
Notice that - 4 is negative number multiplied by a positive number i.e (a - b)2
Hence, discriminant is negative i.e B2 – 4AC < 0
∴ The roots of given quadratic equation are imaginary
Answered by
0
Answer:
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Step-by-step explanation:
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