Question

For the quadratic equation x2+20x=69, complete the table by testing each of the given values to determine whether it is a solution. Identify which one

Answer 1

To test whether a given value is a solution to a quadratic equation, we substitute that value into the equation and see if the equation is satisfied.

Given quadratic equation: x^2 + 20x = 69

We will substitute the given values into the equation to check if they are solutions:

x = -10
Plugging x = -10 into the equation:
(-10)^2 + 20(-10) = 69
100 - 200 = 69
-100 = 69
The equation is not satisfied for x = -10.

x = -5
Plugging x = -5 into the equation:
(-5)^2 + 20(-5) = 69
25 - 100 = 69
-75 = 69
The equation is not satisfied for x = -5.

x = 1
Plugging x = 1 into the equation:
(1)^2 + 20(1) = 69
1 + 20 = 69
21 = 69
The equation is not satisfied for x = 1.

x = 4
Plugging x = 4 into the equation:
(4)^2 + 20(4) = 69
16 + 80 = 69
96 = 69
The equation is not satisfied for x = 4.

x = 6
Plugging x = 6 into the equation:
(6)^2 + 20(6) = 69
36 + 120 = 69
156 = 69
The equation is not satisfied for x = 6.

From the given values, none of them satisfy the equation x^2 + 20x = 69. So, none of the given values are solutions to the equation.