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inessss [21]
3 years ago
12

Solve for x in the equation x^2+10x+12=36

Mathematics
2 answers:
yulyashka [42]3 years ago
5 0

Answer:  The required value of x is 2 or -12.

Step-by-step explanation:  We are given to solve for x in the following equation :

x^2+10x+12=36~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be solving the given equation by the method of factorization.

From equation (i), we have

x^2+10x+12=36\\\\\Rightarrow x^2+10x+12-36=0\\\\\Rightarrow x^2+10x-24=0\\\\\Rightarrow x^2+12x-2x-24=0\\\\\Rightarrow x(x+12)-2(x+12)=0\\\\\Rightarrow (x-2)(x+12)=0\\\\\Rightarrow x-2=0,~~~~~~x+12=0\\\\\Rightarrow x=2,~-12.

Thus, the required value of x is 2 or -12.

Elan Coil [88]3 years ago
4 0
I am going to put the all math work for the answer of this question, but if you need an explanation for how i got each step let me know and i will provide that for you
x^2 +10x + 12 = 36
x^2 + 10x + 12 - 36 = 0
x^2 +12x - 2x - 24 = 0
x(x + 12) - 2(x +12) = 0
(x + 12) x (x - 2) = 0
x + 12 = 0
x - 2 = 0
x = -12
x = 2
your answer for the first x is x = -12, and your answer for the second x will be
x = 2 
let me know if you have any further questions
:)
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4 years ago
One angle of the following triangle measures 2x. How many degrees does that angle
ella [17]

<u>Given</u><u> info</u><u>:</u><u>-</u> In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.

<u>Explanation</u><u>:</u><u>-</u>

Let the angles be 2x, x+15 and 2x+10 respectively.

∵ Sum of the three angles of a triangle is 180°

∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]

→2x + x+15 + 2x+10 = 180°

→ 2x + x + 2x + 15 + 10 = 180°

→ 3x + 2x + 15 + 10 = 180°

→ 5x + 15 + 10 = 180°

→ 5x + 25 = 180°

→ 5x = 180°-25

→ 5x = 155°

→ x = 155°÷5 = 155/5 = 31.

Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.

∴ ∠A = 2x = 2(31) = 62°

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∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.

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denpristay [2]
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So her mother would give Kim 542 nickels on the 10th night.

Differences between number of nickels: 4, 9, 16

9 - 4 = 5
16 - 9 = 7

The pattern is Kim's mom gives her child two more nickels plus the amount of nickels she got the day before.

This was a little tricky so I don't know if this is right but I hope this helps you!
6 0
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