SOLUTION: Solve the following equations: {{{ z^2 - 100 = 0 }}} {{{ y^2 + 27y + 50 = 0 }}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve the following equations: {{{ z^2 - 100 = 0 }}} {{{ y^2 + 27y + 50 = 0 }}}      Log On


   

Question 1091516: Solve the following equations:
+z%5E2+-+100+=+0+


+y%5E2+%2B+27y+%2B+50+=+0+
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+z%5E2+-+100+=+0+
+z%5E2+=+100+
+z+=+sqrt%28+100+%29+ and
+z+=+-sqrt%28+100+%29+
+z+=+10+
+z+=+-10+
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I notice that:
+2%2A25+=+50+ and
+2+%2B+25+=+27+
Using this:
+y%5E2+%2B+27y+%2B+50+=+%28+y+%2B+25+%29%2A%28+y+%2B+2+%29+
+%28+y+%2B+25+%29%2A%28+y+%2B+2+%29+=+0+
+y+=+-25+ and
+y+=+-2+
----------------
check:
+y%5E2+%2B+27y+%2B+50+=+%28-25%29%5E2+%2B+27%2A%28-25%29+%2B+50+
+625+-+675+%2B+50+=+0+
OK
You can check the other solution

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Make an effort.