Question

If a3 + b3 = 341 and ab = 30, then what is the value of a + b?

Answer 1

(a+b)3= a3+b3+3a2b+ ab2
next you can fill values
plz if like this it is easy for you then mark as brainlist
otherwise I will send you by solving on paper

Answer 2

Answer:

The value of a+b is 11.

Step-by-step explanation:

Given information: $a^3+b^3=341$ and ab=30.

Using algebraic formula:

$(a+b)^3=a^3+3a^2b+3ab^2+b^3$

Let a+b=x

$(a+b)^3=a^3+b^3+3ab(a+b)$

$x^3=341+3(30)(x)$

$x^3=341+90x$

$x^3-90x-341=0$

$(x-11)(x^2+11x+31)=0$

For no real values of x, $x^2+11x+31=0$. So,

$x-11=0$

$x=11$

$a+b=11$

Therefore the value of a+b is 11.