Question

Write the nature of roots of the equation 2x2

– 6x + 7 = 0 .​

Answer 1

Answer:

hey mate this is your answer

Step-by-step explanation:

Answer

Given equation is 2x

2

−6x+7=0

The equation is in the form of ax

2

+bx+c=0 where a=2,b=−6,c=7

Now calculate the value of discriminant b

2

−4ac

⇒b

2

−4ac=(−6)

2

−4(2)(7)=36−56=−20

⇒b

2

−4ac=−20<0

Since the value of b

2

−4ac is less than zero, the roots of the given equation are imaginary.

So the given equation 2x

2

−6x+7=0 cannot be satisfied by any real value of x

hope this helps

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