I'm so sorry if this was confusing for you but just saying the answer clearly is (4,24)
We have to solve this quadratic equation for n to get <em>which figure has 56 blocks</em>.
For middle term factorization, we need <em>two numbers that multiplied gives us -56 and added gives us 1 (coefficient of n).</em>
<em>Such two numbers are </em><em>8</em><em> and </em><em>-7</em><em>. We can now write,</em>
<em></em>
<u><em>"There is no negative figure number possible, so we disregard -8"</em></u>
Our answer is 7.
ANSWER: The 7th figure has 56 blocks.
<span>6x+7=6
Subtract both sides by 7
</span>6x+7-7=6-7
6x=-1
Divide both sides by 6 to isolate x
6x/6=-1/6
x=-1/6
The general formula for a equation of the form:
is:
In this case we notice that a=1, b=-4 and c=3. Plugging this values in the general formula we get:
then:
and
Therefore, x=3 or x=1.