The factored form of the quadratic equation x² - 2x - 3 = 0 is (x - 3)(x + 1)
<h3>How to factor quadratic equation?</h3>
The quadratic equation can be factored as follows;
x² - 2x - 3 = 0
Therefore, let's find the numbers we can multiply to get -3 and add to get -2.
x² + x - 3x - 3
x(x + 1) - 3(x + 1)
Therefore,
(x - 3)(x + 1)
Therefore, the factored form of x² - 2x - 3 = 0 is (x - 3)(x + 1)
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Answer:
1.<u> </u>$(x+0.03) - $x
2. $ 34.21
Step-by-step explanation:
Let the price of XYZ inc's share to be = <u>$ x</u>
On Monday, the price drops by $ 0.02 = $ x- $ 0.02 = $ (x-0.02)
New price of shares on Monday is =<u> $ (x- 0.02)</u>
On Tuesday the price goes up by $0.05 = $ (x-0.02) + $ 0.05 = $(x-0.02+0.05)
New price on Tuesday = <u>$( x+ 0.03)</u>..............................................(a)
Change in price of one share of XYZ's stock= Price on Tuesday - price of share
= <u> $(x+0.03) - $x</u>..........................................(b)
2. Give that x= $34.18 solve equation (a) above
Price on Tuesday at close of business= $ (x+0.03)
= $ (34.18+0.03)
= $ 34.21
Answer:
x=8
Step-by-step explanation:
(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)
(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1
4x²+2x+2x+1 = 5x²-4x+1
4x²+4x+1 = 5x²-4x+1
0= 5x²-4x²-4x-4x+1-1
0= x²-8x
x²-8x=0
x²=8x
x=8
Answer:
Option A is correct.
y-intercept for the given equation is 5
Step-by-step explanation:
y-intercept: The graph that cut the y-axis
Substitute the value x= 0 and solve for y:
Given the equation:
....[1]
By definition of y-intercept
Substitute the value of x = 0 in [1] to solve for x:
Then;

Simplify:
3y = 15
Divide both sides by 3 we get;

Therefore, the y-intercept for the given equation is 5
Answer: 125
Step-by-step explanation: