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Digital SAT
Digital SAT Mathematics - No Calculator Section

Finding Constant for Equal Roots in Quadratic

Very Hard Passport To Advanced Math Quadratic Equations

Consider the quadratic equation given by:

$$ ax^2 + bx + c = 0 $$

where $ a, b, c $ are constants. The quadratic equation has roots that are equal, meaning the discriminant must be zero.

Suppose $ a = 2 $, $ b = 8 $, and $ c = k $. Find the value of $ k $ such that this equation has equal roots, and enter the value in the grid below.

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