The equation in required form is: 
Step-by-step explanation:
Given equation is:
to write the equation in 
form where a and b are integers
subtracting 13 from both sides
To complete the square:
2.x.b = 8x
b = 8x/2x = 4
So adding (4)^2 on both sides
Hence,
The equation in required form is:
Keywords: Quadratic equation, Vertex form
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Answer:
w = -1.44 and w = -14.06
Step-by-step explanation:
That "(3) / (4)" in (w+14)/(4w+6)=(3)/(4) looks fishy. Assuming that you really meant 3/4, then we have (w+14)/(4w+6)=3/4.
Mult. both sides by 4 to remove the fraction: 4(w+14)/(4w+6) = 3.
Multiply out (w+14)/(4w+6): 4w^2 + 6w + 56w + 84. Combine the w terms, obtaining 4w^2 + 62w + 84. Then the original equation becomes:
4w^2 + 62w + 84 = 3, or 4w^2 + 62w + 81 = 0.
This is a quadratic equation, with a = 4, b = 62 and c = 81. The two roots (values of
w) are as follows:
-62 plus or minus √(62^2-4(4)(81)
----------------------------------------------------------
8
-62 plus or minus √(2548) -62 plus or minus 50.48
w = ------------------------------------------- = ---------------------------------------
8 8
Simplifying, we get w = -1.44 and w = -14.06
Answer:
X= 67.25
Step-by-step explanation:
4x-35=234
Add 35 to both sides
4x= 269
Divide both sides by 4
X= 67.25
$13.33
Explanation: divide the 5 dollars by 3 to find out how much each taco cost. Then multiply that by 8 to get 13.33
The answer is C Rectangle
