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muminat
3 years ago
11

Which best explains why the expression plus or minus StartRoot b squared minus 4 a c EndRoot cannot be rewritten as b plus or mi

nus StartRoot negative 4 a c EndRoot during the next step?
Mathematics
1 answer:
DerKrebs [107]3 years ago
4 0

Answer:

Step-by-step explanation:

let the quadratic eq. be ax²+bx+c=0

or x²+b/a x+c/a=0

or x²+b/ax=-c/a

to complete the square add both sides (b/2a)²or b²/4a²

x²+b/a x+(b/2a)²=b²/4a² -c/a

(x+b/2a)²=(b²-4ac)/(4a²)

taking square root

x+\frac{b}{2a} =\pm \frac{\sqrt{b^2-4ac} }{2a} \\or\\x=-\frac{b}{2a} \pm\frac{\sqrt{b^2-4ac} }{2a} \\or\\x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}

now you must know why -b and not +b

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