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whats the answer to this math problem in Algebra 8a³-2a²+12a-3
-4 + 2A = 12 - 15A + A-4 + 2A = 12 - 16A2A = 12 - 16A + 42A = 16 - 16AA = 8 - 8A
In mathematics, the expression "2a" represents the product of 2 and the variable "a." This means that you are multiplying the number 2 by the value of the variable "a." The result will depend on the specific value assigned to the variable "a."
a2 + 2a - 3 = 0(a + 3)(a - 1)a = - 3a = 1Simple factoring where you ask yourself; what two factors of - 3 add up to 2?
a2 + 2a - 15 = 0This can be factorised:a2 + 2a - 15 = (a - 3)(a + 5) = 0So a = 3 and -5.A more robust way is to shove it into the general solution:If αx2 + βx + η = 0, then x = (-β ± √(β2 - 4αγ)) / 2αSo if a2 + 2a - 15 = 0, then:a = (-2 ± √(22 - 4*1*-15)) / 2*1a = (-2±√(64))/2 = (-2±8)/2a = -10/2, 6/2a = -5, 3