The intermediate step in the following equation is (4x + 16)² = - 196
<h3>What is an Equation ?</h3>
An Equation is the mathematical statement formed when two algebraic expressions are equated using an equal sign.
The given equation is
4x² +64x+467 = 15
4x² + 2 * 2x *16 + 256 -256 +467 = 15
(4x + 16)² +211 = 15
(4x + 16)² = - 196
Therefore the intermediate step in the following equation is
(4x + 16)² = - 196
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Hey there!
You need to get m by itself. So subtract 4 on each side. You get m=-16. (-12-4 is the same as -12+-4). Since m is by itself, this is the answer: m=-16.
I hope this helps!
Answer: w has to be less than or equal to 1800 hundred so this (w<1800) but with a less than or equal to sign
Step-by-step explanation:
You know 1 is not a root because the sum of the coeffcients of the equation is 14, not zero.
It is fairly easy to try 3 by synthetic division (see attachment), which tells you that 3 is a root and the remaining quadratic factor is x²-3x-5. The quadratic formula tells you the roots of that factor are
... x = (-b±√(b²-4ac))/(2a) = (3±√29)/2
The appropriate choices are
... C. (3-√29)/2
... D. (3+√29)/2
... F. 3
_____
The quadratic formula tells you the solution to
... ax²+bx+c=0
is x = (-b±√(b²-4ac))/(2a)
We have a=1, b=-3, c=-5.
There’s no picture or anything so try again