– English Lyrics

Lyrics & Translation

[English]

can you simplify this sum the final

answer will really blow your mind also

you cannot use a calculator let us call

this value as a and this as B which is

square root conjugate of a both the cube

root of a and the cube root of B are

real therefore their sum will also be

real write this as the cube root of a

plus the cube root of B and let us call

this sum as X

now Cube both sides to get this we know

that the A + B whole cube is given by

this formula so X Cube will be equal to

this Cube or a plus this plus this plus

this Cube or B first put these squares

inside of this cube root and then we

will group these cube roots together

here comes the magic write this as a a

and b sare as BB oh look

we have AB as common here and what will

be the value of its product it will be 7

2us < tk50 s or 49 - 50 or -1 we can

rewrite this Min -1 as -1 Cub now

substitute that here and now if we take

the cube root of the negative 1 we get a

negative one here so this will become a

+ b minus 3 * this plus this amazing

now this sum is same as X and therefore

we have X Cub = a + b - 3 * X now A and

B are conjugates of each other and

therefore their sum will be 7 + < tk50 +

7 - < tk50 this will be cancelled and we

are left with 14 thus we have this cubic

equation and now we just have to solve

for this and we are done take this 3 X

on left hand side to get X Cub + 3x = 14

now we can write 14 as 8 + 6 or 8 + 3 *

2 so compare both sides to get one of

the solutions to this equation as x = 2

after that we can Factor this equation

to get x - 2 * this quadratic equation

the roots of this quadratic equation are

imaginary therefore the only real value

of sum is two wow did you expect such a

complicated sum to turn out as an

integer isn't this cool if you like it

please don't forget to share this video

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becoming a member so good

[Music]

Key Vocabulary

Vocabulary	Meanings
sum /sʌm/ A2	noun - the total amount resulting from addition
simplify /ˈsɪmplɪfaɪ/ B1	verb - to make something easier to understand or do
cube /kjuːb/ B2	noun - a three-dimensional shape with six square sides verb - to multiply a number by itself twice
conjugate /ˈkɒndʒʊɡət/ C1	noun - a pair of binomials that differ only in the sign between their terms verb - to pair with its conjugate
root /ruːt/ B1	noun - a value that returns the original number when multiplied by itself
real /riːl/ A1	adjective - actually existing as a thing
formula /ˈfɔːrmjʊlə/ B1	noun - a mathematical relationship expressed in symbols
substitute /ˈsʌbstɪtjuːt/ B2	verb - to replace one thing with another
quadratic /kwɒˈdrætɪk/ C1	adjective - relating to a polynomial of the second degree
imaginary /ɪˈmædʒɪnəri/ B2	adjective - involving the square root of a negative number
integer /ˈɪntɪdʒər/ B2	noun - a whole number
factor /ˈfæktər/ B1	verb - to express a number as a product of its factors
cancel /ˈkænsəl/ A2	verb - to remove or neutralize the effect of something
amazing /əˈmeɪzɪŋ/ A2	adjective - causing great surprise or wonder
expect /ɪkˈspekt/ A2	verb - to believe that something will happen