Answer:
b = -3
Step-by-step explanation:
Solve for b:
4 b - 4 2 + 24 = 20 - 16
-4×2 = -8:
4 b + -8 + 24 = 20 - 16
Grouping like terms, 4 b - 8 + 24 = 4 b + (24 - 8):
4 b + (24 - 8) = 20 - 16
24 - 8 = 16:
4 b + 16 = 20 - 16
20 - 16 = 4:
4 b + 16 = 4
Subtract 16 from both sides:
4 b + (16 - 16) = 4 - 16
16 - 16 = 0:
4 b = 4 - 16
4 - 16 = -12:
4 b = -12
Divide both sides of 4 b = -12 by 4:
(4 b)/4 = (-12)/4
4/4 = 1:
b = (-12)/4
The gcd of -12 and 4 is 4, so (-12)/4 = (4 (-3))/(4×1) = 4/4×-3 = -3:
Answer: b = -3
Answer:
OPTION D: 0
Step-by-step explanation:
Rational numbers are subset of real numbers. These are the numbers that can be represented by a ratio of two integers i.e., of the form
, where 'q' is non-zero. The numbers after the decimal forms a pattern. Since, 'q' can be equal to 1, we conclude all integers are rational numbers.
Irrational numbers are the numbers which cannot be represented as ratios. They can only be represented as an approximate value. The numbers after the decimal do not form a pattern.
Here, A is 11.761038... Clearly, the decimal is non-terminating and does not follow a pattern.
In Option B we have √20. √20 = √2 . √10. We know that √2 is an irrational number. So, √20 is also irrational.
In Option C, we have the famous
. The value of
is 3.14.... It is an irrational number. The approximate representation of
is
.
In Option D, we have 0. It is an integer. So, it is rational as well.
Answer:
The real roots are
and 
The sum of the squares of these roots is 
Step-by-step explanation:
The given quadratic equation is
has two real roots.
To find the roots .

Dividing the above equation by 2


For quadratic equation
the solution is 
Where a and b are coefficents of
and x respectively, c is a constant.
For given quadratic equation
a=4, b=6, c=-7









The real roots are
and 
Now to find the sum of the squares of these roots
![\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3+\sqrt{37}-3-\sqrt{37}}{4}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7B-3%2B%5Csqrt%7B37%7D%7D%7B4%7D%2B%5Cfrac%7B%28-3-%5Csqrt%7B37%7D%29%7D%7B4%7D%5Cright%5D%5E2%3D%5Cfrac%7B-3%2B%5Csqrt%7B37%7D-3-%5Csqrt%7B37%7D%7D%7B4%7D)


![\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3}{2}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7B-3%2B%5Csqrt%7B37%7D%7D%7B4%7D%2B%5Cfrac%7B%28-3-%5Csqrt%7B37%7D%29%7D%7B4%7D%5Cright%5D%5E2%3D%5Cfrac%7B-3%7D%7B2%7D)
Therefore the sum of the squares of these roots is 
Answer:
OK?
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
18/ 3/4=24