Help me please 5points only sry
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3. If and
, then
Then
(only one solution)
4. If , then
. So we're told that
but this is impossible, because that would that for any
, we have -5 = -2. This is false, so this system has no solution.
7. "y is 6 less than 3 times x" means . "x is 2 more than one-third of y" means
. Solving the second equation for
gives
, which would mean
. But for the same reason as in (4), there is no solution. For any value of
, this equation gives the false conclusion that -6 = -2.
ANSWER
EXPLANATION
The quadratic equation given to us is
We add half the square of the coefficient of
to both sides of the equation to obtain,
This implies that,
The right hand side simplifies to
The left hand side is a perfect square.
This gives us
We take the square root of both sides
This evaluates to
We make x the subject.
We now split the square root sign to get
.
The correct answer is A.
EXPLANATION
The quadratic equation given to us is
We add half the square of the coefficient of
to both sides of the equation to obtain,
This implies that,
The right hand side simplifies to
The left hand side is a perfect square.
This gives us
We take the square root of both sides
This evaluates to
We make x the subject.
We now split the square root sign to get
.
The correct answer is A.