the product of two successive integral multiples of 5 is 300 find the multiples
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15 , 20
Step-by-step explanation:
Let 1 St number be 'x'
Let second number be 'x + 5'
So,
x(x+5)=300
x² + 5x = 300
x² + 5x - 300 = 0
Now factorising the above numbers
- b ± ✓b² - 4ac/2a
= - 5 ± ✓(5)² - 4( 1 )( -300 ) / 2( 1)
= - 5 ± ✓ 25 + 1200 / 2
= - 5 ± ✓ 1225 /2
= - 5 ± 35 /2
= - 5 + 35/2. (or). -5 - 35/2
= 30/2 (or). -40/2
x= 15. (or). -20
As negative sign will not come x=15
So, x+5 = 15+5 = 20
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