X^2-12x+36=0 X= Solve for x

Mathematics

2 answers:

solong [7]4 years ago

8 0

Answer:

Step-by-step explanation:

X^2-12x+36=0

X^2 - 8x - 4x + 36 = 0

(x^2 -8x) - (4x - 36) = 0

x(x - 8) - 4(x - 8) = 0

(x - 4)(x - 8) = 0

:- x - 4 = 0 or x - 8 = 0

x = 4 or x = 8

ioda4 years ago

7 0

Answer:

x = 6 (Multiplicity 2).

Step-by-step explanation:

x^2 - 12x + 36 = 0

(x - 6)(x - 6) = 0

x = 6.

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A chemist has 200 mL of a 10% sucrose solution. She adds x mL of a 40% sucrose solution. The percent concentration, y, of the fi

user100 [1]

Answer:

The chemist needs to add 400mL of 40% solution.

Step-by-step explanation:

The equation

$y=\frac{0.1(200)+0.4x}{200+x} *100$

gives the percent concentration $y$ of the final mixture, when $x$ mL of the 40% solution are added.

Now we are asked, how many milliliters $x$ of the 40% solution should the chemist add to get final percent concentration $y=30$ ; this is just a matter of solving the equation

$30=\frac{0.1(200)+0.4x}{200+x} *100$

and we solve it the following way:

$30=\frac{0.1(200)+0.4x}{200+x} *100\\\\0.3 =\frac{0.1(200)+0.4x}{200+x}\\\\0.3(200+x)=0.1(200)+0.4x\\\\60+0.3x=20+0.4x\\\\40=0.1x\\\\x=\frac{40}{0.1} \\\\\boxed{x=400\:mL}$