Which of the following equation has no real roots? O 2 x^2 = 10x - 2 O - x^2 - 12x = 16 O 7^2 - 1 = -8% 7 O ^ 2x^2 + 5x + 5 = 0
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Class 10
>>Maths
>>Quadratic Equations
>>Nature of Roots
>>Which of the following equations has no
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Which of the following equations has no real roots?
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Solution
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Correct option is A)
The quadratic equation ax
2
+bx+c=0 has no real roots only when discriminant D<0
D=b
2
−4ac<0
A) x
2
+4x+3
2
=0
Here,
D=(4)
2
−4×3
2
=16−16.97<0
B) x
2
+4x−3
2
=0
Here,
D=(4)
2
−4×(−3
2
)
=16+16.97>0
C) x
2
+5x+3
2
=0
Here,
D=(5)
2
−4×(3
2
)
=25−16.97>0
D) 3x
2
+4
3
x+4=0
Here,
D=(4
3
)
2
−4×3×4
=48−48=0
Hence, option A.
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