Does (1, 6) make the equation y = 5x2 + 8x + 5 true?

Answer 1

To check if the point (1, 6) satisfies the equation $y=5x^2+8x+5$, we will substitute $x=1$ into the equation and see if it equals $y=6$.

1. Substitute $x=1$ into the equation: $$y=5(1^2)+8(1)+5$$

2. Calculate: $$y=5(1)+8(1)+5$$ $$y=5+8+5$$ $$y=18$$

Now we have $y=18$ when $x=1$, but the point (1, 6) has $y=6$.

Since $18\ne 6$, the point (1, 6) does not make the equation true.