SOLUTION: 1. Given equation: y=xsquared-4x+2 solve the system of equation fors for y=xsquared-4x+2 (substitution method). thanks, Ally

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Question 2297: 1. Given equation: y=xsquared-4x+2
solve the system of equation fors for y=xsquared-4x+2 (substitution method).
thanks,
Ally

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%5E2-4x%2B2
Solve this means put y=0, so we get
x%5E2-4x%2B2+=+0
Substitution method??
You either factorise the quadratic or use the formula. Here, use the formula, as i cannot factorise it.
x = %28-%28-4%29+%2B-+sqrt%28%28-4%29%5E2+-+4%2A%281%29%2A%282%29%29%29%2F2
x = %284+%2B-+sqrt%2816+-+8%29%29%2F2
x = %284+%2B-+sqrt%288%29%29%2F2
x = %284+%2B-+sqrt%284%2A2%29%29%2F2
x = %284+%2B-+sqrt%284%29sqrt%282%29%29%2F2
x = %284+%2B-+2sqrt%282%29%29%2F2
x = 2+%2B-+sqrt%282%29
these are your 2 answers, in an exact form.
Use your calculator to work the approx answers out, say to 2 decimal places.
jon