For what value of x does 25x=5x2-3?
2 answers:
I might be wrong but I'll give it a shot, you subtract the 5x from the right side and put it on the left with makes it 20x=2-3. Then subtract the 3 from the 2 which makes it 20x=-1. So it would be -0.05. I'm not 100% sure. But his is my guess.
Important: Use " ^ " to indicate exponentiation: <span>25x=5x^2-3. Rearrange these terms in descending powers of x: 5x^2 - 25x - 3 = 0 This is a quadratic equation. To solve it, you could use a graphing calculator, the quadratic formula, completing the square or other approaches. </span>Let's complete the square of 5x^2 - 25x - 3 = 0: 5(x^2 - 5x) = 3 5(x^2 - 5x + 25/4 - 25/4) = 3 5(x-5/2)^2 - 125/4 = 3 = 12/4 5(x-5/2)^2 =137/4 (x-5/2)^2 -25/4 = 137/20 (x -5/2)^2 = 125/20+137/20 = 162/20= 81/10 Taking the sqrt of both sides, we get: x-5/2 = plus or minus 9/sqrt(10) Then: x = 5/2 plus or minus 9sqrt(10) / 10, or x = 25/10 plus or minus 9sqrt(10)/10, or 25 plus or minus 9sqrt(10) x = ------------------------------------- 10
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