we know that
In a quadratic equation of the form
the discriminant is equal to

if
-------> the equation has two real number solutions
if
-------> the equation has one real number solution
if
-------> the equation has two complex number solutions
In this problem we have

so

substitute in the formula

----> the equation has two real number solutions
therefore
<u>the answer is</u>
the equation has two real number solutions
Answer: 50
Step-by-step explanation: 1/4 = 50
2/4 = 100
3/4 = 150
4/4 = 200
Answer:
There are two roots: -3 and 3
Step-by-step explanation:
Combine the like terms first. We get u^2 = 9.
There are two roots: -3 and 3.
Answer:
x=18 x=-6
Step-by-step explanation:
2|x-6|+14=38
The first step is to isolate the absolute value
Subtract 14 from each side
2|x-6|+14-14=38-14
2|x-6|=24
Divide by 2 on each side
2/2|x-6|=24/2
|x-6| = 12
Now we can seperate the absolute value into two parts, the positive and the negative
x-6 =12 x-6 = -12
Add 6 to each side
x-6+6 =12+6 x-6+6 = -12+6
x=18 x= -6
Answer:3
Step-by-step explanation: