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Sia ? 4 years, 3 months ago
Given 2x2+3x+1=0
On comparing this equation with ax2 + bx + c = 0, where a = 2, b = 3, c = 1
∴ b2 − 4ac = (5)2 − 4 × 2 × 1
= 9 − 8
= 1
x = −b±b2−4ac / 2a
= −3±1 / 2×2
x = −3+1 / 4 or x = −3−1 / 4
x = −2 / 4 or x = −4 / 4
x = −1/2 or x = −1
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Sia ? 4 years, 3 months ago
let first integer be x
then its consecutive integer be (x+1)
according to question
x^2 + (x+1)^2 = 925
2x^2 + 2x - 924 = 0
x^2 + x - 462 = 0
x = -1 +- √1 + 4*462 / 2
x = -1 +- 43/2
x = -1 + 43 /2 = 21
x = -1 - 43/2 = -22
x = 21 , -22
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Sia ? 4 years, 3 months ago
According to Euclid’s Division Lemma if we have two positive integers a and b, then there exist unique integers q and r which satisfies the condition a = bq + r where 0 ≤ r ≤ b.
HCF is the largest number which exactly divides two or more positive integers.
Since 12576 > 4052
12576 = (4052 × 3) + 420
420 is a reminder which is not equal to zero (420 ≠ 0).
4052 = (420 × 9) + 272
271 is a reminder which is not equal to zero (272 ≠ 0).
Now consider the new divisor 272 and the new remainder 148.
272 = (148 × 1) + 124
Now consider the new divisor 148 and the new remainder 124.
148 = (124 × 1) + 24
Now consider the new divisor 124 and the new remainder 24.
124 = (24 × 5) + 4
Now consider the new divisor 24 and the new remainder 4.
24 = (4 × 6) + 0
Reminder = 0
Divisor = 4
HCF of 12576 and 4052 = 4.

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