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3 years ago

X²=14x-45 step by step please

Mathematics

1 answer:

dolphi86 [110]3 years ago

5 0

Answer:

X=9 and X=5

Step-by-step explanation:

So you want to get one side to equal zero so you can factor and find x. I recommend subtracting 14x and adding 45 to both sides so you don't have to deal with a negative quadratic.

X^2 - 14X +45 = 0

Now you can factor. Your looking for two factors that equal 45 and add to -14

All factors of 45:

1 and 45, 3 and 15, 5 and 9, -1 and -45,

-3 and -15, -5 and -9

So out of those combinations -5 and -9 both multiply to 45 and add up to -14 so these are our common factors

(X-5)(X-9)=0

X-5=0 add 5 to both sides X=5

X-9=0 add 9 to both sides X=9

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Can you please help me solve for the area

ycow [4]

Answer:

area is equal to 198 cm^2

Step-by-step explanation:

the height h of the left triangle can be obtained by

Pytagoras theorem:

$5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12$

the, the area of the left triangle is

$A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30$

the area of the right triangle is

$A_2=\frac{2*12}{2} \\A_2=12$

and the area of the rectangle in the middle is

$A_3=(13)(12)\\A_3=156$

Por tanto, el area total sera

$A=A_1+A_2+A_3\\A=30+12+156\\A=198$

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Answer:

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2 years ago

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Step-by-step explanation: Hope this helps Have a brilliant day of learning!

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