$\displaystyle ax^2+bx+c=0\\\\ax^2+bx=-c\\\\x^2+\biggr(\frac{b}{a}\biggr)x=-\frac{c}{a}\\\\x^2+\biggr(\frac{b}{a}\biggr)x+\biggr(\frac{b}{2a}\biggr)^2=-\frac{c}{a}+\biggr(\frac{b}{2a}\biggr)^2\\\\x^2+\biggr(\frac{b}{a}\biggr)x+\frac{b^2}{4a^2}=-\frac{c}{a}+\frac{b^2}{4a^2}\\ \\\biggr(x+\frac{b}{2a}\biggr)^2=-\frac{4ac}{4a^2}+\frac{b^2}{4a^2}\\ \\\biggr(x+\frac{b}{2a}\biggr)^2=\frac{b^2-4ac}{4a^2}\\ \\x+\frac{b}{2a}=\pm\frac{\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

6 0

2 years ago

Charlie wants to swim across a river that's is 400 meters wide. He begins swimming perpendicular to the shore he from but ends u

nirvana33 [79]

Let's calculate Charlie swimming distance. Assume Charlie swimming distance is D.
D^2 = 400^2 + 100^2 => D = 412 meters

Assume d is Carter's distance.
d^2 = 400^2 + 150^2 => d = 427 meters

Carter swims more than Charlie by:
d - D = 427 - 412 = 15 meters

4 0

3 years ago

What is the slope of a line parallel to the line 4x-7y=-14?

Sav [38]

We have 7y = 4x + 14;

Then, y = (4/7)x + 2;

The slope of this line is 4/7;

Because another line is parallel with the first one, the chosen slope is 4/7.

3 0

3 years ago

5+(-13)=????<br>??????????

chubhunter [2.5K]

Answer:

-8

Step-by-step explanation:

4 0

3 years ago

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