Quadratic equation ___ has equal roots.
- $x^{2}-10x+25=0$
- $x^{2}-10x-25=0$
- $x^{2}+10x-25=0$
- $x^{2}-25=0$
Reveal answer
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A
Correct answer
Explanation
A quadratic equation has equal roots if the discriminant b^2 - 4ac = 0. For x^2 - 10x + 25 = 0, (-10)^2 - 4(1)(25) = 100 - 100 = 0.
AI explanation
A quadratic equation has equal roots if and only if its discriminant, given by the formula D = b^2 - 4ac, is exactly zero. For the equation x^2 - 10x + 25 = 0, the coefficients are a = 1, b = -10, and c = 25. Calculating the discriminant gives D = (-10)^2 - 4(1)(25) = 100 - 100 = 0. Therefore, the equation x^2 - 10x + 25 = 0 has equal roots.