4 years ago

Solve the quadratic equation by completing the square 3x^2 -6x-4=0

Mathematics

1 answer:

dsp734 years ago

8 0

Answer:

Step-by-step explanation:

3x² -6x-4=0

3(x² -2x) - 4 =0

3(x²-2x+1-1)-4 = 0 completing the square

3((x - 1 )² - 1 ) - 4 = 0

3(x -1 )² -3 - 4 = 0

(x - 1 )² = 7/3

x - 1 =√(7/3) or x - 1= - √(7/3)

x = 1+√(7/3) or x = 1-√(7/3)

You might be interested in

What are the points of intersection of -x^2+9x-3 and y=3x

ELEN [110]

Answer:

Easiest and fastest way is to graph both equations into a graphing calc and trace the graph to where they intersect.

Alternatively, you can use substitution to solve for your answer.

Step-by-step explanation:

8 0

3 years ago

Write an equation for the following graph.

romanna [79]

Y=Ix+1I-3
the absolute value of( x+1) minus 3

3 0

4 years ago

Please help me with this problem..

charle [14.2K]

Answer:

y = 6

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 3 when x = 9, then

k = $\frac{y}{x}$ = $\frac{3}{9}$ = $\frac{1}{3}$ , thus

y = $\frac{1}{3}$ x ← equation of variation

When x = 18, then

y = $\frac{1}{3}$ × 18 = $\frac{18}{3}$ = 6

5 0

4 years ago

There will be 58 people at a breakfast and each person will eat 2 eggs. There are 12 eggs in each carton. How many cartons of eg

inna [77]

9.6 if my math is right lol

7 0

3 years ago

Ou are having a family-barbeque. In attendance are a grandfather, a grandmother, two fathers, two mothers, four children, three

spin [16.1K]

46 burgers is the minimum amount, because there are 23 people who will each eat two burgers.

5 0

4 years ago