SOLUTION: Hi, Can someone help me please? write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2+bx+c=0. -√&#

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hi, Can someone help me please? write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2+bx+c=0. -√&#      Log On


   

Question 604012: Hi,
Can someone help me please?
write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2+bx+c=0.
-√̅7, 7√̅7
Thanks,
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
given:
+x+=+-sqrt%287%29+
+x+=+7%2Asqrt%287%29+
rewrite these as:
+x+%2B+sqrt%287%29+=+0+
+x+-+7%2Asqrt%287%29+=+0+
Now I can say:
+%28+x+%2B+sqrt%287%29+%29%2A%28+x+-+7%2Asqrt%287%29+%29+=+0+
+x%5E2+%2B+sqrt%287%29%2Ax+-+7%2Asqrt%287%29%2Ax+-+7%2A7+=+0+
+x%5E2+-+6%2Asqrt%287%29%2Ax+-+49+=+0+
So, the function of x is
+f%28x%29+=+x%5E2+-+6%2Asqrt%287%29%2Ax+-+49+