Answer:
Option D is correct.
The equation with roots 3 plus or minus square root 2 is x² - 6x + 7
Step-by-step explanation:
The roots of the unknown equation are
3 ± √2, that is, (3 + √2) and (3 - √2)
The equation can then be reconstructed by writing these roots as the solutions of the quadratic equation
x = (3 + √2) or x = (3 - √2)
The equation is this
[x - (3 + √2)] × [x - (3 - √2)]
(x - 3 - √2) × (x - 3 + √2)
x(x - 3 + √2) - 3(x - 3 + √2) - √2(x - 3 + √2)
= x² - 3x + x√2 - 3x + 9 - 3√2 - x√2 + 3√2 - 2
Collecting like terms
= x² - 3x - 3x + x√2 - x√2 - 3√2 + 3√2 + 9 - 2
= x² - 6x + 7
Hope this Helps!!!
Answer:
- 48
Step-by-step explanation:
by PEDMAS, we evaluate the exponent first before the multiplication
(-12)·(-2)²
= (-12)·(4)
= - 48
Answer:
a
Step-by-step explanation:
Because I did this already
Answer:
j =76/3
Step-by-step explanation:
-3j - -4
------------------ = 12
-6
Multiply each side by -6 to clear the fraction
-3j +4
------------------ * -6 = 12 *-6
-6
-3j +4 = -72
Subtract 4 from each side
-3j +4-4 = -72 -4
-3j = -76
Divide each side by -3
-3j/-3 = -76/-3
j = 76/3
Answer:
900
Step-by-step explanation
That would be 3 * 300 = 900
