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Linear and Quadratic Equations · Question 52 of 66

Question 52

MediumOriginal question

One root of x2+kx−24=0x^2 + kx - 24 = 0 is 4. What is the value of kk?

Options for question 52

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Put x=4x = 4: 16+4k−24=016 + 4k - 24 = 0.

  2. So 4k=84k = 8 and k=2k = 2.

  3. (The other root is −6-6, since the product of the roots is −24-24.)

Worth noting

−6-6 is the other root, not kk. 10 comes from 4k=24+164k = 24 + 16, a sign slip.

Concept
Using a known root to find a coefficient
Typical time
70 s
Your time
—
The rule this testsQuadratic equations
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Ten questions from Linear and Quadratic Equations, at your own pace.

Practise this chapter →

Ten questions from Linear and Quadratic Equations, at your own pace.