How many dots would be in the 50th figure?
2 answers:
You might be interested in
To find the solutions of quadratic equation, there are two ways to do which are:
- Factorize
- Quadratic Formula
<u>S</u><u>t</u><u>e</u><u>p</u><u> </u><u>1</u>
- Factor the expression.
To factor the expression, refer below:
For bx and ax, both can be common-factored. Therefore
From the above, we conclude that:
- The middle term is b+a
- The last term is a×b
- Thus, we have to find two numbers that satisfy a+b and a×b
From the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.
Because in the middle term, it is -x which is negative, we have to let the highest number become negative.
From the factored expression:
- The middle term = 5x + (-6x) = -x
- The last term = 5 × (-6) = -30
Then we replace the standard equation with factored form.
For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!
Hence
Therefore, the solutions are x = -5, 6.
Answer: