Grade 12th passAlgebra
The sum of all real values of x satisfying the equation(x^2-5x+5)^x^2+4x-60=1
The sum of all real values of x satisfying the equation(x^2-5x+5)^x^2+4x-60=1
1 Answer
Apoorv Tiwari
as, (x^2-5x+5)^x^2+4x-60 = 1 = (x^2-5x+5)^0,
=> (x^2+4x-60) = 0
=> x = -10 and 6
and,
(x^2-5x+5) = 0 or -1
now if (x^2-5x+5) = 0
then it wont satisfy original eqn,
if (x^2-5x+5) = 1
x = 4 and 1
if (x^2-5x+5) = -1
x = 2 and 3
now x =3 doesn't satisfy the equation
Hence solutions are -10,6,4,1 and 2
so the sum of solutions = -10+6+4+1+2 = 3
Answer: 3
Other Related Questions on algebra
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
Last Activity: 2 Years ago