4. Examine if each of the following is a perfect square,
(1) 725 (i) 190 (ii) 841 (iv) 1089
Answers
Answer:
----->>>>Here is your answer<<<<--------
➠(x + 2)(27 - x) = 210➠(x+2)(27−x)=210
➠27x + 54 - {x}^{2} - 2x = 210➠27x+54−x
2
−2x=210
➠ - {x}^{2} + 25x - 156 = 0➠−x
2
+25x−156=0
➠ {x}^{2} - 25x + 156 = 0➠x
2
−25x+156=0
➠ {x}^{2} - 13x - 12x + 156 = 0➠x
2
−13x−12x+156=0
➠x(x - 13) - 12(x - 13) = 0➠x(x−13)−12(x−13)=0
➠(x - 13)(x - 12) = 0➠(x−13)(x−12)=0
➠x - 13 = 0➠x−13=0
➠x - 12 = 0➠x−12=0
➠x = 13➠x=13
➠x = 12➠x=12
HOPE IT HELPS YOU.
Answer:
Step-by-step explanation:
A number is said to be perfect square is the factors of the number are in pair
We have given numbers
(i) 725 = 5×5×29
As the factors of 725 are not in pair so it is not a perfect square
(ii) 190 = 2×5×19
Factor of 190 are not in pair so it is not a perfect square
(iii) 841 = 29 ×29
Factor of 814 are in pair so 841 is a perfect square
(iv) 1089 = 3×3×11×11
As the factor of 1089 are in pair so it is a perfect square
Learn more
841 and 1089 a perfect square?
Examine:(With correct steps)
Using the prime factorization method find which of the following numbers are perfect squares 4225 second 1089 please answer me the solution