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Q.

Statement: Roots of x2-8x+16=0 are -4 , -4.

Choose the correct option.

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a

both the roots cannot have same sign

b

Both the roots cannot be same

c

None of the given options

d

Statement is true

answer is A.

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Detailed Solution

detailed_solution_thumbnail

For x = -4,

In x2+8x+16=0,

L.H.S. = (-4)2+8(-4)+16=16-32+16=0 = R.H.S

Therefore, Roots of x2-8x+16=0 are -4 , -4 is true.

Note: Since both the roots are same, therefore this given quadratic equation has only one root.

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