SOLUTION: the sum of the squares of two numbers is 233 and one of the number is 3 less than twice the other number. find the number. give the solution of this equation in quadratic equation

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: the sum of the squares of two numbers is 233 and one of the number is 3 less than twice the other number. find the number. give the solution of this equation in quadratic equation      Log On


   



Question 872440: the sum of the squares of two numbers is 233 and one of the number is 3 less than twice the other number. find the number. give the solution of this equation in quadratic equation
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
x^2 + (2x-3)^2 = 233
x^2 + 4x^2 - 12x + 9 = 233
5x^2 -12x -224 = 0 |format: a^2 + bx + c = 0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%2812+%2B-+sqrt%28+4624+%29%29%2F%2810%29+
x+=+%2812+%2B-+68%29%2F%2810%29+
x = -5.6, 8