SOLUTION: Solve this: {{{x^2=5(x+4)}}} please give me a step by step solution.

Question 24019: Solve this: please give me a step by step solution.
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
this is saying where does the straight line, y=5(x+4) cross (ie is EQUAL TO) the curve y = . This is difficult to solve as it stands and you would have to plot it on a graph and then your answer may not be a precise answer depending upon how good you were are drawing curves etc.

However, combining the 2 equations into one is easy, as follows:

Now we have one equation, and we need to know where this crosses the x-axis, namely y=0. This is much better to solve, since we do not need to plot a graph. We can do it mathematically and arrive at the precise answer(s).

So... method is to factorise, hopefully. If not, then use the quadratic formula. I can see no obvious factorisation, so quadratic formula it is:

or

These are the 2 precise answers. You can use a calculator but you will have to round up the answers it gives you, thus being approximate answers.

jon.

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