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HACTEHA [7]
3 years ago
6

Can you help me on quadratic formulas?

Mathematics
2 answers:
Ber [7]3 years ago
8 0
Sure. Where is the question and I hope I can answer it

bixtya [17]3 years ago
5 0

I take it as you want to learn about the formula.

The quadratic formula is a formula where you can solve x for any quadratic equation in form  ax^2+bx+c=0.

The formula is x= \frac{-b+-\sqrt{b^2-4ac}}{2a}.

The +- means + or - for the 2 solution in each equation.

<u>*All above information is what you need to know about the quadratic formula and solve for answer, but I will go a step further in my answer to prove the quadratic formula always work.</u>

0=ax^2+bx+c

0=(ax+\frac{b}{2})^2-\frac{b^2}{4}+c (This step is completing the square)

(ax+\frac{b}{2})^2=\frac{b^2}{4}-c

(2ax+b)^2=b^2-4ac

2ax+b=+or-\sqrt{b^2-4ac}

2ax=-b+ or -\sqrt{b^2-4ac}

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

<u>This is my way of proving this formula although there are many other ways to do it too, if there is any questions, feel free to ask me in the comment :-).</u>

<u />

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Step-by-step explanation:

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3 years ago
Juan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Juan drove h
kolezko [41]

Answer:Juan live 384 miles from the mountains.

Step-by-step explanation:

Let x be the speed  of Juan for trip to the mountains

Time taken by Juan to reach the mountains=8 hours

then distance traveled by Juan for trip to mountain= speed × time=8x..........(1)

Time taken by Juan to reach the home= 6 hours

Speed increased by 16 miles per hour ∴ the resultant speed to reach the home by Juan =x+16

then distance traveled by Juan to reach the home =speed × time

= (x+16)6......................(2)

Now distance is same in both the case (1) and (2),we get

8x= (x+16)6

⇒8x=6x+96..............(by solving brackets)

⇒2x=96..............(subtracting 6x from both sides )

⇒x=48....................(dividing 2 from both sides)

Putting this value in (1) ,we get

Distance traveled by Juan for trip to mountain =8×48=384 miles.

∴ Juan live 384 miles from the mountains.


3 0
4 years ago
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Step-by-step explanation:

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