Find the discriminant of equation 5 x square - 4 root 5 x + 4=0 and hence find the nature of roots
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Answer:
Discriminant is equal to 0.Roots are real and equal.
Step-by-step explanation:
5x^2 - 4 root 5x + 4 =0
Discriminant d = b^2 - 4ac
Here,
A = 5, b = 4 root 5 and c = 4
D = (4 root5) ^2 - 4 ☓ 5 ☓ 4
D= (16 ☓ 5) - 80
D = 80 - 80
D = 0
Since D = 0.
Therefore,
➡️ Roots are real
➡️ Roots are equal
Roots = - b + rootD/2A
Roots = - (- 4 root 5) + 0/10
Roots = 4root5/10
Roots = 2root 5/5
Hope this helps.....
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