To determine the solution of the quadratic equation, use the quadratic formula which states that,
x = ((-b +/- sqrt (b² - 4ac)) / 2a
From the equation, a = 1, b = 14, and c = 112. Substituting these to the quadratic formula,
x = <span>((-14 +/- sqrt (14² - 4(1)(12)) / 2(1) = indeterminate
Thus, the equation does not a real number solution. </span>
Answer:
The three consecutive even integers are 4,6,8
Step-by-step explanation:
Let the three consecutive even integers be 2x, 2x+2, 2x + 4
Middle number = 2x +2
2x + 2x+2 + 2x + 4 = 4* (2x+2) - 6
6x + 6 = 4*2x + 4*2 - 6
6x + 6 = 8x + 8 -6
6x + 6 = 8x + 2
6x - 8x = 2 -6
-2x = -4
x = -4/-2
x = 2
The three consecutive even integers are
2x = 2*2 = 4
2x+2 = 2*2 +2 =4 + 2 = 6
2x + 4 = 2*2+4 = 4+4 = 8
Surprisingly, a one-step equation <em>is </em>that simple; it's just an equation that takes one step to solve. So yes, 3 + 4 = 7 would be one you could do. You could also do a simple multiplication or division problem if you'd like, for instance you could do 4*3=12, or 12/4=3. Hope I helped!
Answer: 2 inch dimension will give smallest increase.
Step-by-step explanation:
Length = 3 in
width = 2 in
height = 6 in
Extra cardboard means to find surface area
on doubling the length
length = 6 In
width = 2 In
Height = 6In
Surface area for the above dimensions = 2 [ 6x2+2x6+6x6] = 120 sq in
On doubling the width
length = 3 in
width = 4 in
Height = 6 inch
Surface area for the above dimensions= 2 [ 3x4+4x6+6x3] = 2[54] = 108 sq inches
On doubling height
Length =3 in
width = 2 in
Height = 12 in
Surface area for above dimensions = 2 [ 3x2+2x12+12x3] = 2[6+24+36] = 132 sq inch
On doubling width surface area is minimum.
