Question

Show that the equation 2x2 – 7x + 6 has 2 as a root?​

Answer 1

Answer:

2 is a zero of the polynomial

Step-by-step explanation:

p(x) =2x^2-7x+6

now substitute 2 in place of x

p(2)=2(2)^2-7(2)+6

=8-14+6

=8-8

=0

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Answer 2

Yes, 2 is the root of the equation 2x²-7x+6.

Given: A quadratic equation 2x²-7x+6 and one of its root is 2

To Prove: 2 is the root of the quadratic equation

Solution:

The quadratic equation is 2x²-7x+6

If 2 is the root of the quadratic equation then, its gives 0 as the result when x = 2 put in the equation

2(2)²-7(2)+6

=8-14+6

=14-14

= 0

Hence, 2 is the root of the quadratic equation 2x²-7x+6.

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