Multiple choice

The values of $b$ for which the equation $\displaystyle { 2bx }^{ 2 }-40x+25=0$ has equal root is :

  1. $5$
  2. $6$
  3. $7$
  4. $8$
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D Correct answer
AI explanation

A quadratic equation has equal roots when its discriminant is zero. Applying the discriminant formula of D = b^2 - 4ac to the equation 2bx^2 - 40x + 25 = 0, we write (-40)^2 - 4(2b)(25) = 0. Solving 1600 - 200b = 0 results in 200b = 1600, which means the value of b is 8.

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