Find the value of the lesser root of x2 + 12x + 35 = 0.

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24-04-2017
Mathematics

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Find the value of the lesser root of x2 + 12x + 35 = 0.

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taskmasters taskmasters · Answer 1 · 2017-05-06T01:52:34+02:00

In quadratic equations,
a + b = -B
ab = C
where a and b are the roots, B is the second term, and C is the constant.
Substituting,
a + b = -12
ab = 35
The values of a and b from the equation is -7 and -5. Thus, the lesser root is -7.