Mathematics, 27.06.2019 00:30 lilyrockstarmag

Solve the quadratic equation by completing the square. 2x² - 20x + 48 = 0

Answers: 2

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Answers

Answer from: Niktorres560Luckynik

Steps

So firstly, we need to isolate the x terms onto one side. To do this, subtract 48 on both sides of the equation:

2x^2-20x=-48

Next, divide both sides by 2:

x^2-10x=-24

Next, we are gonna make the left side of the equation a perfect square. To find the constant of this soon-to-be perfect square, divide the x coefficient by 2 and then square the quotient. Add the result onto both sides of the equation:

$-10 \div 2=-5\\(-5)^2=25\\\\x^2-10x+25=1$

Now, factor the left side:

(x-5)^2=1

Next, square root both sides of the equation:

$x-5=\pm 1$

Next, add 5 to both sides of the equation:

$x=5\pm 1$

Lastly, solve the left side twice -- once with the plus sign and once with the minus sign.

x=6,4

Answer

In short, x = 6 and 4

Answer from: yadi64

x = 4 x = 6

Step-by-step explanation:

2x² - 20x + 48 = 0

2x² - 20 x + _____ = -48 + ______ subtracted 48 from both sides

2(x² - 10x + _____ ) = 2(-24 + _____ ) factored out 2 from both sides

x² - 10x + _____ = -24 + _____ divided both sides by 2

x² - 10x + 25 = -24 +25 added 25 to both sides

↓ ↑ ↑

$\dfrac{-10}{2}=(-5)^2$ $\bigg(\dfrac{b}{2}\bigg)^2$ makes a perfect square

(x - 5)² = 1 simplified

$\sqrt{(x-5)^2} =\sqrt{1}$ took square root of both sides

x - 5 = ± 1 simplified

x - 5 = 1 x - 5 = -1 split into two separate equations

x = 6 x = 4 solved for x

Answer from: Quest

ok so the answer to your question is simple as long as you look at the different dimensions that contain the exemplary letters that combined in the right order give you words that eventually within the 5th dimension will conform and give you the correct answer to your question. hope i , stop looking at this easily, look at it with a spectral view.

step-by-step explanation:

told you

Answer from: Quest

step-by-step explanation:

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