FIND THE QUADRATIC EQUATION ROOT x² -1 = 8
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11th
Maths
Complex Numbers and Quadratic Equations
Quadratic Equations
Find the nature of the root...
MATHS
Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:
3x
2
−4
3x
+4=0
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ANSWER
We have 3x
2
−4
3x
+4=0
Here, a=3,b=−4
3x
and c=4
Therefore, D=b
2
−4ac=(−4
3x
)
2
−4×3×4=48−48=0
Hence, the given quadratic equation has real and equal roots
Thus, x=
2a
−b±
D
=
2×3
−(−4
3
±
0
)
=
3
2
3
Hence equal roots of given equation are
3
2
3
,
3
2
3
Answered by
18
Solution:-
x² - 1 = 8
x² = 8 + 1
x² = 9
x = √9
x = ±3
•°• Roots are :-
⟹ x = -3
⟹ x = 3
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