The correct question is
<span>
Penelope determined the solutions of the quadratic function by completing the square.f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?
we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
4x² + 8x + 1=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² + 8x)=-1
Factor the
leading coefficient
4*(x² + 2x)=-1
Complete the square Remember to balance the equation
by adding the same constants to each side.
4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)
Rewrite as perfect squares
4*(x+1)²=3
(x+1)²=3/4--------> (+/-)[x+1]=√3/2
(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2
(-)[x+1]=√3/2----> x2=(-2-√3)/2
therefore
the answer is
<span>
Penelope should have added 4 to both sides instead of adding 1.</span>
Answer: the answer is C
Step-by-step explanation:
Step-by-step explanation:
2 2/3
=><em>If</em> 8/3 = 1/6
x =1
1/6x = 8/3 ( Divide both sides by <em>1</em><em>/</em><em>6</em><em> </em>)
___ ___
1/6 1/6
(By cross-multiplying the numerators and denominators)
=> 1×6 8×6
___ x = ___
6×1 3×1
Cancelling out , we have
x = 8×2
____ = 8×2 = 16
1 × 1
<em>The</em><em> </em><em>final</em><em> </em><em>answer</em><em> </em><em>becomes</em><em> </em><em>1</em><em>6</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>
It would be 339.1 hope this helps
