Question

For the quadratic equation x² - 9x + 14 = 0, how would you check that x = 2 and x = 7 are valid solutions? (1 point)
Responses

Substitute each value into the equation to check if it equals zero
Substitute each value into the equation to check if it equals zero

Multiply the values together
Multiply the values together

Graph the equation and find intersection points
Graph the equation and find intersection points

Calculate the average of both values
Calculate the average of both values

Answer 1

Substitute each value into the equation to check if it equals zero.

Check x = 2: 2² − 9·2 + 14 = 4 − 18 + 14 = 0
Check x = 7: 7² − 9·7 + 14 = 49 − 63 + 14 = 0

Both give 0, so x = 2 and x = 7 are valid solutions.