So you're saying |5x+2|=x-4?
Yeah, no there is no Solution.
• The value of the discriminant ,D= -16
,
• The solution to the quadratic equation is
Step - by - Step Explanation
What to find?
• The discriminant d= b² - 4ac
,
• The solution to the quadratic equation.
Given:
5x² - 2x + 1=0
Comparing the given equation with the general form of the quadratic equation ax² + bx + c=0
a=5 b=-2 and c=1
Uisng the quadratic formula to solve;
The discriminant D=b² - 4ac
Substitute the values into the discriminant formula and simplify.
D = (-2)² - 4(5)(1)
D = 4 - 20
D = -16
We can now proceed to find the solution of the quadratic equation by substituting into the quadratic formula;
Note that:
√-1 = i
That is;
Answer:
yes
Step-by-step explanation:
To determine if the point is a solution, substitute the coordinates into the left side of the inequality, evaluate and compare with right side.
- 8(3) - 2(2) = - 24 - 4 = - 28 < 6
Thus (3, 2) is a solution
Answer:
2 gallons of pure alcohol
Step-by-step explanation:
Let x represent the number of gallons of pure alcohol needed, and create an equation:
4(0.25) + x(1) = (x + 4)0.5
1 + x = 0.5x + 2
x = 0.5x + 1
0.5x = 1
x = 2
So, 2 gallons of pure alcohol should be added.