Q3 Solve the equation: x2+11x-26=0 using quadratic formula
The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
Comparing the equation x^2 + 11x - 26 = 0 to the general quadratic equation ax^2 + bx + c = 0, we can see that a = 1, b = 11, and c = -26.
Plugging these values into the quadratic formula, we get:
x = (-(11) ± √((11)^2 - 4(1)(-26))) / (2(1))
x = (-11 ± √(121 + 104)) / 2
x = (-11 ± √225) / 2
x = (-11 ± 15) / 2
This gives us two possible solutions:
x = (-11 + 15) / 2 = 4 / 2 = 2
x = (-11 - 15) / 2 = -26 / 2 = -13
Therefore, the solutions to the equation x^2 + 11x - 26 = 0 using the quadratic formula are x = 2 and x = -13.