What was the name of the treatise in which Euclid compiled all the existing geometric knowledge, along with some of his own obse
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Since the divisor of is in the form of
use what is called Synthetic Division. Remember, in this formula, −c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
−1| 2 1 0 1
↓ −2 1 −1
__________
2 −1 1 0 →
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [2x³ + x² + 1]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than the leading coefficient of your dividend, so that 2 in your quotient can be a 2x², the −x follows right behind it, and bringing up the rear, 1, giving you the quotient of 2x² - x + 1.
I am joyous to assist you anytime.
Answer:
see explanation
Step-by-step explanation:
(1)
given
4x² = 81 ( divide both sides by 4 )
x² = ( take the square root of both sides )
x = ± = ±
---------------------------------------------------------------------
(2)
subtract 7 from both sides
(4x - 3)² = 32 ( take the square root of both sides )
4x - 3 = ± = ± 4
Add 3 to both sides
4x = 3 ± 4 ( divide both sides by 4 )
x = ±