Does (7, 0) make the equation y = 2x² – 3x – -7 true?

To check if the point (7, 0) makes the equation ( y = 2x^2 – 3x – 7 ) true, we can substitute ( x = 7 ) into the equation and see if we get ( y = 0 ).

1. Substitute ( x = 7 ):

[

y = 2(7)^2 – 3(7) – 7

]

2. Calculate ( y ):

[

y = 2(49) – 21 – 7

]

[

y = 98 – 21 – 7

]

[

y = 70

]

3. Compare the calculated ( y ) with 0:

Since ( y = 70 ) does not equal 0, the point (7, 0) does not make the equation true.

Therefore, the answer is no.