F4 Maths ( a- B ) ^2

2010-01-11 1:40 am
If a and B are the roots of x^2 - 8x - 6 = 0, find the value of ( a- B ) ^2

Ans: 88

Give me the steps please.

回答 (1)

2010-01-11 1:56 am
✔ 最佳答案
x^2 - 8x - 6 = 0

a + B = 8

aB = - 6

(a - B)^2

= a^2 - 2aB + B^2

= a^2 + 2aB + b^2 - 4aB

= (a + B)^2 - 4aB

= 8^2 - 4(-6)

= 64 + 24

= 88


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