The sum of all real values of x satisfying the eqn (x2- 5x+5) whole power x2+4x-60 = 1
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0
then x2 +4x-60 may be 0 is one case..
from solving quadratic equation ..,
we get x=6 or x=-10
then
case 2 is that
x2-5x+5=1
from solving quadratic equation ..,
x=1 or x=4
sum=4+1+6+(-10)
1 is answer
from solving quadratic equation ..,
we get x=6 or x=-10
then
case 2 is that
x2-5x+5=1
from solving quadratic equation ..,
x=1 or x=4
sum=4+1+6+(-10)
1 is answer
john333:
but the answer in material is 5
how
plz do the answer i to tried the same and even one more roots are x=2 and x= 3 .... ....three not satisfies ............them. i get sum 3. again need +2. to make 5 ...
answer is 5............i want one more condition
Answered by
0
Answer:
x=3
Step-by-step explanation:
Either x2 – 5x + 5 = 1 or x2 + 4x – 60 = 0
⇒ x = 1, 4 or x = –10, 6
Also x2 – 5x + 5 = –1 and x2 + 4x – 60 is an even number
⇒ x = 2, 3
For x = 3, x2 + 4x – 60 is odd so we can neglect it..
Total solutions are x = 1, 4, –10, 6, 2
Adding 1+4-10+6+2
⇒ Sum = 3
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