Find the roots of quadratic equation
2x2 +7x+5√2= 0
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Answer:
Here, on comparing with general equation ax 2 + bx + c = 0, we get
a = √2
b = 7
c = 5√2
Now, Discriminant = D = (b2 – 4ac)
∴ D = [49 – (4 × √2 × 5√2)]
= [49 - 20]
= 9
Therefore, the roots of the equation are given by:
x = (-b
√D)/2a
∴ x = (-7
(√9))/2√2
= [(-7-3)/2√2] or [(-7 + 3)/2√2]
HOPE IT WILL HELP YOU DEAR..
= -10/2√2 or -4/2√2
= -5/√2 or -√2 .
Thus the roots of the equation are 5/√2 and √2
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