A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Which statement describes the first step to solve the equation by completing the square? 2x2 + 12x = 32
Add 36 to each side of the equation.
Multiply both sides of the equation by 12.
Add 6 to each side of the equation.
Multiply both sides of the equation by 16.
Solution:
Given equation is 2x2 + 12x = 32
Comparing with a2 + 2ab + b2
Here, a2 = 2x2
⇒ a = √2x,
2ab = 2(√2x)(b) = 12
⇒ b = 3√2
Thus we have to add ( 3√2)2 = 18 on both the sides
II METHOD
2x2 + 12x = 32
Divide the equation by 2
x2 + 6x = 16
Comparing with a2 + 2ab + b2
Here, a2 = x2
And 2ab = 2(x)(b) = 6x ⇒ b = 3
Thus we have to add 32 on both sides
Which statement describes the first step to solve the equation by completing the square? 2x2 + 12x = 32
Summary:
None of the options describes correctly
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