bl88676
22.05.2020 •
Mathematics
8 - 4) X (7 X 0) =
Which is a true statement, 5 X 4 + 1 = 25 or 3 + 7 X 2 = 17?
Explain your answer.
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Ответ:
Step-by-step explanation:
According to steps 2 and 4. The second-order polynomial must be added by -c−c and b^{2}b
2
to create a perfect square trinomial.
Step-by-step explanation:
Let consider a second-order polynomial of the form a\cdot x^{2} + b\cdot x + c = 0a⋅x
2
+b⋅x+c=0 , \forall \,x \in\mathbb{R}∀x∈R . The procedure is presented below:
1) a\cdot x^{2} + b\cdot x + c = 0a⋅x
2
+b⋅x+c=0 (Given)
2) a\cdot x^{2} + b \cdot x = -ca⋅x
2
+b⋅x=−c (Compatibility with addition/Existence of additive inverse/Modulative property)
3) 4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x = -4\cdot a \cdot c4⋅a
2
⋅x
2
+4⋅a⋅b⋅x=−4⋅a⋅c (Compatibility with multiplication)
4) 4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x + b^{2} = b^{2}-4\cdot a \cdot c4⋅a
2
⋅x
2
+4⋅a⋅b⋅x+b
2
=b
2
−4⋅a⋅c (Compatibility with addition/Existence of additive inverse/Modulative property)
5) (2\cdot a \cdot x + b)^{2} = b^{2}-4\cdot a \cdot c(2⋅a⋅x+b)
2
=b
2
−4⋅a⋅c (Perfect square trinomial)
According to steps 2 and 4. The second-order polynomial must be added by -c−c and b^{2}b
2
to create a perfect square trinomial.