The denominator of a rational numbers is twice it’s numerator if the numerator is decreased by 3 and the denominator increased b
1 answer:
Answer:
Step-by-step explanation:
let x be the numerator of the rational number then 2x is the denominator
original fraction =
subtracting 3 from numerator and adding 7 to denominator , gives
=
( cross- multiply )
5(x - 3) = 2(2x + 7) ← distribute parenthesis on both sides )
5x - 15 = 4x + 14 ( subtract 4x from both sides )
x - 15 = 14 ( add 15 to both sides )
x = 29
rational number =
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Step-by-step explanation:
<u>Let us assume that:</u>
<u>Therefore, the equation becomes:</u>
<u>Now substitute the value of u. We get:</u>
<u>Therefore:</u>
★ <u>Which is our required answer.</u>
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
a² - b² = (a + b)(a - b)
(a + b)³ = a³ + 3ab(a + b) + b³
(a - b)³ = a³ - 3ab(a - b) - b³
a³ + b³ = (a + b)(a² - ab + b²)
a³ - b³ = (a - b)(a² + ab + b²)
(x + a)(x + b) = x² + (a + b)x + ab
(x + a)(x - b) = x² + (a - b)x - ab
(x - a)(x + b) = x² - (a - b)x - ab
(x - a)(x - b) = x² - (a + b)x + ab