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marysya [2.9K]
3 years ago
14

The sum of two numbers is 52 . The larger number is 12 more than the smaller number. What are the numbers?

Mathematics
2 answers:
lozanna [386]3 years ago
7 0
52/2= 26
12/2= 6
26-6= 20
26+6= 32
20+32=52

Ans: 20 and 32
DochEvi [55]3 years ago
5 0

A) x + y = 52

B) x = y + 12 OR

B) x - y = 12

Adding the 2 equations:

2x = 64

x = 32

y = 20


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Answer:

A. The solutions are x=3i,\:x=-3i.

B. The factored form of the quadratic expression x^2+9=(x-3i)(x+3i)

Step-by-step explanation:

A. To find the solutions to the quadratic equation x^2+9=0 you must:

\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}

x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i

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x=3i,\:x=-3i

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To factor x^2+9:

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x^2+9i^2

Since both terms are perfect squares, factor using the difference of squares formula

a^2-i^2=(a+i)(a-i)

x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)

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Help Asap plz!!!! Thx Give 2<br>0 points
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(1,2) is a solution to both equations

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