Question
Download Solution PDFOne of the roots of the equation x2 − 4x + k = 0 is x = 3. The other root is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The equation x2 − 4x + k = 0
Concept used:
Roots of a quadratic equation satisfy the equation, so by putting the value of one root, One can find the unknown variable and hence the other root.
Calculation:
Let us put x be 3 in the equation
So,
x2 – 4x + k = 0
⇒ 9 – 12 + k = 0
⇒ k = 3
Putting the value of k in the equation, we get:
x2 – 4x + 3 = 0
⇒ x2 – 3x – x + 3 = 0
⇒ x(x – 3) – 1(x – 3) = 0
⇒ (x – 3)(x – 1) = 0
⇒ x = 3 and 1
∴ The other root of the equation is 1.
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