Answer:
y = ±√3 and ±2i
Step-by-step explanation:
Given the equation y⁴+y²-12 = 0
(y²)²+y²-12 = 0
Let P = y²
Substitute
P²+P-12 = 0
Factorize:
P²+4P-3P -12 = 0
P(P+4)-3(P+4) = 0
(P-3)(P+4) = 0
P-3 = 0 and P+4 = 0
P = 3 and -4
When P = 3
y² = 3
y = ±√3
When P = -4
y² = -4
y² = ±√-4
y = ±2i
Hence the value of y is ±√3 and ±2i
Answer:
Step-by-step explanation:
24 ice-cream cartons in a box, and you have 13 boxes. Therefore, you do 24 times 13.
24 x 10 = 240.
3 x 4 = 12
(3 x 2 = 6) x 10 = 60.
240
+60
+12
=312
Tom has 312 cartons of ice-cream
<span>A) The constant is 7.5. FALSE. 7.5 is a coefficient, not a constant.
</span><span>B) The coefficients are 7.5 and -9. FALSE. The coefficients are 7.5, -1/9 and 2. 50, being a constant, could be regarded as a coefficient in this case.
</span><span>C) The variables are x and y. FALSE. There are three variables: x, y and z.
</span><span>D) The like terms are 7.5y and 2y. TRUE. The variable (y) is the same in each term.</span><span>
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