Answer:
D) 5/8 = a/16
Step-by-step explanation:
The quadratic formula is =(-b+-sqrt(b^2-4ac))/2a
as you notice the term under the square root is b^2-4ac if it is postive then the equation clearly will have two real soultions if it is negative then the equation will have two imaginary soultion if it is zero then the the equation will have one soultion
so let us calculate b^2-4ac for our given equation
x^2=4x-5 so let us write it in general form which is ax^2+bx+c=0
subtracting 4x from both sides
x^2-4x=-5
adding 5 to both sides
x^2-4x+5=0
a=1,b=-4,c=5
b^2-4ac=(-4)^2-4(1)(5)=16-20=-4
which means the equation has two imaginary soultions
x= −29/4
Answer:
Step-by-step explanation:
−7(x+2)=−3(x−5)
Step 1: Simplify both sides of the equation.
−7(x+2)=−3(x−5)
(−7)(x)+(−7)(2)=(−3)(x)+(−3)(−5)(Distribute)
−7x+−14=−3x+15
−7x−14=−3x+15
Step 2: Add 3x to both sides.
−7x−14+3x=−3x+15+3x
−4x−14=15
Step 3: Add 14 to both sides.
−4x−14+14=15+14
−4x=29
Step 4: Divide both sides by -4.
−4x −4
x=29/−4
x= −29/4
A consistent system of equations is a system with intersecting lines and lines that have the same equation.
A consistent system is the system of equations with at least one solution or infinite number of solutions.
So , the intersecting lines will always have a solution and the lines with the same equation will have infinite number of solution.
The graph of a system of equations with different slopes will have no solutions. Correct option in "Never"
If the system of equations have different slopes then the equations are not parallel, hence the equations will always have a solution.
