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Answer :
The equation is a quadratic equation. By factoring, we find two solutions for x, which are 20 and -20.
The equation given is ".25x2 - 100 = 0" which we need to solve for x. This equation is a simple quadratic equation of the form ax2 + bx + c = 0. To solve the equation, we follow a couple of steps:
- Firstly, bring the equation to standard form: 0.25x2 - 100 = 0.
- Next, factor out the common elements, if possible, simplifying the equation.
- Afterwards, solve for x, either by factoring further, using quadratic formula, or by completing the square.
In this case, it is best to solve by factoring: (0.5x - 10)(0.5x + 10) = 0, which simplifies to x = 20 or x = -20. Thus, the values of x that satisfy the equation are 20 and -20.
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