2.8M/(365x24x60)=wonder why you need this
Answer:
The answer is x=12.
Step-by-step explanation:
First, to solve this equation you need to isolate the x variable. To isolate the variable, you must, subtract the other term from both sides. Subtracting 18 from both sides, you are left with 3x = 36. Since 3 times x = 36, dividing both sides by 3 gets you, x=12.
Answer:
Rs 1000.97
Step-by-step explanation:
x = original price
new price = x (1.0909)(1.0833)(1.077) = 1274
x = Rs 1000.97
Answer:
Create equivalent expressions in the equation that all have equal bases, then solve for
x
.
Exact Form:
5/3
Decimal Form:
x
=
1.6
Mixed Number Form:
x
=
1 2/3
You did it right (almost, I got 21 instead of 19) but didn't finish. You need to show your discriminant is never negative.
x² + (p+1)x = 5-2p
x² + (p+1)x +(2p-5) =0
Real roots mean a positive (or at least non-negative) discriminant:
D = b² - 4ac = (p+1)² - 4(1)(2p - 5) = p² + 2p + 1 - 8p + 20
D = p² - 6p + 21
It's not totally obvious that D>0; we prove that by completing the square by noting
(p-3)² = p² - 6p + 9
so
p² - 6p = (p-3)² - 9.
D = p² - 6p + 21
D = (p-3)² - 9 + 21
D = (p-3)² + 12
Now we clearly see D>0 always because the squared term can't be negative, so D is always at least 12. We always get two distinct real roots.
