SOLUTION: Find all real numbers a and b such that a + b = 14 a^3 + b^3 = 812 + a^2 + b^2

Algebra.Com
Question 1209837: Find all real numbers a and b such that
a + b = 14
a^3 + b^3 = 812 + a^2 + b^2

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!




-->

-->










Use the quadratic formula....

or

ANSWER: The two numbers a and b are, in either order, and


RELATED QUESTIONS

Find real numbers a and b such that (𝑎 + 𝑏i)^2 = −3 −... (answered by Alan3354)
Find the real numbers a and b such that: ((5i)/(2+3i)^2)=a+bi Find the real numbers a (answered by longjonsilver)
The real numbers a and b satisfy a - b = 2 and a^3 - b^3 = 8. (a) Find all possible... (answered by ikleyn,math_tutor2020)
find real numbers a and b such that the equation is true. a + bi = 14 +... (answered by Fombitz)
Find all solutions to the system a + b = 14 a^3 + b^3 = 812. How would I solve... (answered by math_tutor2020,MathTherapy)
If ab = a^b + b^a for all real numbers a,b, what is... (answered by user_dude2008)
Let a and b be real numbers such that (a^2 + 1)(b^2 + 4) = 14ab + 21. Find the largest... (answered by CPhill)
Find all complex numbers $z$ such that $|z-1|=|z+3|=|z-i|$. Express each answer in the (answered by Fombitz,ikleyn)
Let # be the binary operation defined on the positive real numbers by a#b=a^b. Find the... (answered by josgarithmetic)