25. Find the number whose square is 3 less than 4 times the number.
2 answers:
Answer:
Step-by-step explanation:
Let the number be x
<u>Given condition:</u>
x² = 4x - 3
Subtract 4x to both sides and add 3 to both sides
x² - 4x + 3 = 0
Using mid-term break
x² - 3x - x + 3 = 0
Take common
x(x-3) - 1(x-3) = 0
Take (x-3) common
(x - 3)(x - 1) = 0
<u>Using zero's method</u>
Either,
x - 3 = 0 OR x - 1 = 0
x = 3 OR x = 1
You might be interested in
Answer: y = -5x + 6
Step-by-step explanation:
First, we need to find the slope, which would be m in the equation. To find m, we can use the formula called "rise over run". Here's the formula:
So, to use this formula, you pick two points from the line that you're given and solve for m.
Let's use the points (1,1) and (0,6). x1 would be 1, x2 would be 0, y1 would be 1, y2 would be 6
So, the slope is -5
Then, we need to find the y intercept, which would be b in the formula.
We can see that the point where the line meets the y axis is at (0.6), so the y intercept would be 6.
Now let's put everything together:
y = mx+b
y = -5x + 6