Theory of Intelligence
A-LEVEL•Mathematics•Quadratics•Question 2

Solution

🟢 Foundation · [3 marks] Find the values of the constant $k$ for which the equation $x^2 + kx + 9 = 0$ has equal roots.

Solution

Equal roots means the discriminant is zero:

k2−4(1)(9)=0k2=36k=±6\begin{aligned} k^2 - 4(1)(9) &= 0 \\ k^2 &= 36 \\ k &= \pm 6 \end{aligned}

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