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Finding the quadratic equation whose sum and product is given
1) Find the quadratic equation whose sum and product are 1/4, -1
k (x² + (1/4 )x – 1)
k (x² + (1/4 )x + 1)
k (-x² + (1/4 )x – 1)
k (x² – (1/4) x – 1)
1/10
Solution
Answer:
k (x² – (1/4) x – 1)
Explanation:
a + b = 1/4, ab = -1
ax² + bx + c = k (x² – (a + b)x + ab)
= k (x² – [1/4]x - 1)
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