plz answer this question correctly and whose answer is correct I will mark the person as brainliest one. plz answer for the questions in above picture.
Answers
Answer: 1) Let x be the natural number.
When increased by 12 equals 12 + x
Its reciprocal 1 / 12 + x
x = 160 / 12 + x
x^2 + 12 x =160
x^2 + 12 x -160 = 0
[ x +20 ] [ x -8] =0
x = -20 or 8
Number : 8
2) Let x= Original Speed
we know that
distance/speed =time
So as per the question, the following equation can be formed
⇒ 360/x - 360/x+5= 48/60 [1 hour = 60 minutes]
⇒ 1/x - 1/x+5 = 48/60 . 1/360
⇒ 5/x∧2+5x = 1/450
⇒ x∧2+5x-2250=0
⇒ x∧2-45x+50x-2250=0
⇒ x(x-45)+50(x-45)=0
⇒ x=45,−50
As the speed can't be negative so,
x=45
3) Therefore, 9(x+10)= x∧2
i.e, x∧2-9x-90=0
⇒ x∧2-15x+6x-90=0
⇒ x(x-15)+6(x-15)=0
⇒ (x+6) (x-15)=0
⇒ Therefore, x= -6 or x=15
since x is marks obtained, x≠ -6. Therefore, x=15
4) Consider,
√3x²+6=9
squaring on both sides
3∧2+6=81
3∧2=81−6
3∧2=75
x∧2=75/3
x∧2=25
x=√25
x=±5
But positive root is:
x=5