An algebra problem by Charlton Teo

Algebra Level 1

Which of the following is true?

(x+y)^2=x^2+y^2+2b (x+y)^2=x^2+y^2 x^0=y^0 xy=x^2+y^2

Charlton Teo by Charlton Teo , 21, Singapore

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14 solutions

Deepjyoti Nath
Mar 22, 2014

Zero Rise to Any Number is zero. Hence X^0=Y^0=1

2 Helpful 0 Interesting 0 Brilliant 0 Confused

What about Zero raised to the power Zero!

Arya Samanta - 7 years, 2 months ago
Maria Javed
Mar 1, 2014

as any number or alphabet whose value is zero =1so both sides equal to 1 so its true

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Ashish Menon
May 31, 2016

x 0 = y 0 = 1 \color{#69047E}{\boxed{x^0 = y^0 = 1}}

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Syed Ahsanuddin
Mar 31, 2014

x^0is always equal to x

it can happen that x=y then we can tell that

x^0=y^0

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Wrong, when you put any number to the power of 0, it is like dividing it by itself, which always results in 1 . When you put something to the power of 1 it is like having it only once, and therefore X would equal X

James Hadley - 7 years ago
Majharul Haque
Mar 19, 2014

we know that x^0=1, so x^0=y^0

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Kathy Pham
Mar 18, 2014

x^0=y^0=1

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Lol'd a bit at myself because I've been thinking for 30 minutes now and still got no answer but ohhh. There it is.

x^0 = y^0

(Any positive integer that has a square root of 0 is 1)

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Jatin Aneja
Mar 5, 2014

Let x for MMs packet and Y for other one,Then according to condition, x+y=10 because total 10 packets were purchased 1.x+0.5y=6 because total 6 $ were spent solving these we get x=2 and y=8

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Geovani Duqueza
Mar 3, 2014

The equation x^0=y^0 is true as long as neither x nor y is equal to zero. Otherwise, proving this identity will be beyond the scope of algebra alone.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

In fact 0 0 0^0 is indeterminate, so we don't really have to worry about that until Calculus :)

Daniel Liu - 7 years, 3 months ago
Bidyut Kundu
Mar 2, 2014

we know, 1^0=1or 2^0=1 therefore,X^0=1 and Y^0=1 so,X^0=Y^0

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Arsha Sree
Mar 1, 2014

a number raise to 0 is equal to 0.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

equal to 1 except for 0^0 (I think)

Sindhur Aellipeddi - 7 years, 3 months ago
Rizwan Khan
Mar 1, 2014

easyyyyyyyyyyyyyyyyyy

0 Helpful 0 Interesting 0 Brilliant 0 Confused
N S
Feb 19, 2014

anything power 0 wil be 1 so 3rd option is d correct one

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Joshua Ong
Feb 16, 2014

Anything^0=1.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0^0 isnt 1

Victor Loh - 7 years, 3 months ago

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Exactly!

Finn Hulse - 7 years, 3 months ago

This qn is wrong

Victor Loh - 7 years, 3 months ago

Correct

Robert Fritz - 7 years, 3 months ago

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