Step-by-step explanation:
to do what ?
the calculation of the 2 solutions for the quadratic equation is already done here.
so, what else do you need ? an explanation ?
in general, a quadratic equation looks like
ax² + bx + c = 0
and the formula for the solutions is
x = (-b ± sqrt(b² - 4ac))/(2a)
remember, a linear equation (x¹) has one zero solution.
a quadratic equation (x²) has 2 zero solutions.
a cubic equation (x³) has 3 zero solutions.
and so forth.
the 2 solutions here are created by the "±" operation. one solution is using the "+". and the other the "-". that is all.
so, what happened here was simply putting the values of the given equation into the solution formula and doing the calculations.
and the final line is saying that the solutions are the set of the 2 numbers represented by the "±" expression.
to finish this up for better clarity :
the first solution is
x = (-17 + sqrt(217))/4 = -0.567270034...
the second solution is
x = (-17 - sqrt(217))/4 = -7.932729966...
is there anything still unclear ? please let me know.
