Answer:
2x^2 = 6x - 5.
-x^2 - 10x = 34.
These have only complex roots/
Step-by-step explanation:
3x^2 - 5x = -8
3x^2 - 5x + 8 = 0
There are complex roots if the discriminant 9b^2 - 4ac) is negative.
Here the discriminant D = (-5)^2 - 4*-5*8 = 25 + 160
This is positive so the roots are real.
2x^2 = 6x - 5
2x^2 - 6x + 5 = 0
D = (-6)^2 - 4*2*5 = 36 - 40 = -4
So this has no real roots only complex ones.
12x = 9x^2 + 4
9x^2 - 12x + 4 = 0
D = (-12)^2 - 4*9 * 4 = 144 - 144 = 0.
- Real roots.
-x^2 - 10x = 34
x^2 + 10x + 34 = 0
D = (10)^2 - 4*1*34 = 100 - 136 = -36.
No real roots = only complex roots.
Answer:
Area of rectangular garden = lxb = 10*5
= 50 sq. inch
when area increases by six times
new area = 50*6 = 300 sq inches
now,
let x be increasement in both length and width
(5+x) (10+x) = 300
50 + 5x + 10x + x² = 300
x² + 15x - 250 = 0
x²+ 25x-10x -250 = 0
x(x+25) - 10 (x+25) = 0
( x-10) (x+25) = 0
either x + 25 =0
x = -25 length can be negative
0r x-10 = 0
x = 10
so 10 inches is increase on both side
Step-by-step explanation:
Answer:
George is correct
Step-by-step explanation:
if the jacket is in sales for 20% off, Jane's coupon would give her a discount of 10% on top of the already discounted 20%.
Jane is incorrect because, if she added the 2 discount together, she gets a total of 30%, but that is a 30% discount of the original price of $75 which isn't correct. what we want to do is find how much the jacket cost after 20% discount THEN use the coupon to get a further 10% discount on the sales price of the jacket. and for this reason, George is correct.
hope this helped
Answer:
y = -4/5 x - 3
Step-by-step explanation:
15y = -45 - 12x
5y = -15 - 4x
y = -4/5 x - 3
