What is the number of real solutions?
12×2 – 11x = 11
two real solutions
one real solution
cannot be determined
no real solutions
5 Answers

3. What is the number of real solutions?
12×2 – 11x = 11 (1 point)
(1 pt) two real solutions
(0 pts) one real solution
(0 pts) cannot be determined
(0 pts) no real solutions
1 /1 point

During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the machine recommends that the temperature of the machine part remain below 141°F. The temperature T in degrees Fahrenheit x minutes after the machine is put into operation is modeled by T = –0.005×2 + 0.45x + 125. Will the temperature of the part ever reach or exceed 141°F? Use the discriminant of a quadratic equation to decide. (1 point)
(0 pts) yes
(1 pt) no


lesson 6 the quadratic formula algebra unti 2
1.use the quadratic formula to love the equation 4x^23x+2 (1point)
A
 A landscaper is desinig a flower garden in the shape of a trapozoid
C
 what is the number of the real solution 12x^211x=11
A
 during a manufacturing process, a metal part in a machine is expossed to varying tempature contidons.
NO

We have 12x^2 – 11x = 11
Therefore, 12x^2 – 11x – 11 = 0
Now we have a quadratic equation, and we can use (b +/ sqrt(b^24ac))/2a.
With a little calculation we get (1/24)(11+sqrt(649)) and (1/24)(11sqrt(649)).
There for we get TWO REAL SOLUTIONS, one negative, one positive.
Source(s): Math Senior at Large University 
if you use the quadratic formula and estimate you can get 2 approximate solutions
12x^211x11=0
a=12 b=11 c=11
x=11+/ sq rt 11^24(12)(11)/ 24
x=11+/ sq rt 121+ 528/24
x=11+/ sq rt 649/ 24
x=11+ sq rt 649 / 24 x=11 sq rt 649/ 11
x=11+ 25.48/ 24 or x=11 25.48/24
x~ 36.48/24 or 14.48/24
x~ 1.52 or 0.6033..

12x^2 – 11x = 11
x (12x – 11) = 0
x=0 or (12x11)=0
Therefore, x=0 or x= 11/12
Source(s): Own practice