Check whether the equation 3x² – 5x + 2 = 0 has real roots and if it has, find the root by applying Quadratic formula.
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Answer:
Explanation:Given, 3x
2
+5x+2=0
On comparing this equation with ax
2
+bx+c=0, we get a=3,b=5 and c=2
Now, b
2
−4ac=(5)
2
−4×3×2
=25=24
=1
x=
2a
−b±
b
2
−4ac
==
2×3
−5±
1
=
6
−5±1
x=
6
−5+1
x=
6
−5−1
∴
3
−2
and −1 are the roots of the given quadratic equation.
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