Suppose you are a solving a quadratic equation using the quadratic formula and this is your work so far:
2x2+7x−15=0
x=
−7 ±72−42−15
22
x=
−7 ±???
4👈
It looks like there may have been an error in substituting the values into the quadratic formula. Let's correct that:
Given quadratic equation: 2x^2 + 7x - 15 = 0
Using the quadratic formula: x = [-b ± sqrt(b^2 - 4ac)] / 2a
Here, a = 2, b = 7, and c = -15
Substitute these values into the formula:
x = [-7 ± sqrt(7^2 - 4*2*(-15))] / 2*2
x = [-7 ± sqrt(49 + 120)] / 4
x = [-7 ± sqrt(169)] / 4
x = [-7 ± 13] / 4
Therefore, the correct values for x are:
x = (-7 + 13) / 4 = 6 / 4 = 3/2
x = (-7 - 13) / 4 = -20 / 4 = -5