Replace * with a number in such a way that the trinomial could be written in the form a(x+b)^2 or a(x-b)^2.
2 answers:
Answer:
Step-by-step explanation:
a)
- 1.5x² + 6x + * =
- 1.5(x² + 4x + *) =
- 1.5(x² + 2*2x + 4) =
- 1.5(x + 2)²
- * = 1.5*2² = 6
b)
- 2x² - 5x + * =
- 2(x² - 2.5x + *) =
- 2(x² - 2*1.25x + 1.25²)=
- 2(x - 1.25)²
- * = 2*(1.25)² = 3.125 or 25/8
Answer:
Solution given;
a. 1.5x^2+6x+*
1.5(x²+4x+*)
1.5(x²+2.2x+2²)
1.5(x+2)²
b) 2x^2-5x+*
2(x²-5x/2+*)
2(x²-2×5/4 ×x +(5/4)²)
2(x-5/4)²
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