Solve x2 – 3x = –8
\[x^2 – 3x = –8 \]\[x^2 – 3x + 8 = 0 \]
this is the general form of a quadratic. I don't think you can complete the square so you will have to use the quadratic formula. Are you familiar with that?
answers: x = 3 +-isqrt29 / 2 x = 3 +-isqrt23 / 2 x = -3 +-isqrt29 / 2 x = -3 +-isqrt23 / 2
Not asking you for the answer choices.....I'm asking if you know how to use the quadratic formula
no
this is the quadratic formula for the quadratic equation\[\begin{array}{*{20}c} {x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} & {{\rm{when}}} & {ax^2 + bx + c = 0} \\ \end{array}\] this is your equation. \[x^2–3x+8=0\]
all we want to do is find out what a b and c are in order to plug it into the left formula and solve for x.
I'll tell you how to solve it if you can tell me what a b and c are for your equation.
a = x^2 b = 3x c = -8
no a is left of x and since there is no number we use 1 b is also the number next to x in 3x so it will be 3.....can you rewrite it again?
a =3x b = 1 c = -8
nope\[x^2–3x+8=0\]\[ax^2+bx+c=0\] we know c=8 but can you tell me what a and b are?
sorry c=-8
a = x^2 b = 3x
a b and c have no x's
a - 1 b = 3
a=1
sorry a = 1
\[a=1,b=-3,c=-8\]now we just plug in the values for the formula below \[{x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}\]\[{x = \frac{{ 3 \pm \sqrt {(-3)^2 - 4*1*-8} }}{{2*1}}}\] \[\pm \] this sign means that you have to do it twice once for + and another time for - this makes total sense because we are suppose to get two answers for x. So just do it twice and you should be able to get the answer
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