What error did zacharias make? the –5 should be 5. the 52 should be –52. the 2 in the numerator should be –2. the 2 in the denom
1 answer:
The error made by zacharias in solving the quadratic equation 0 = -2x² + 5x - 3 using quadratic formula is; the 2 in the numerator should be –2.
<h3>Quadratic equation</h3>There are four methods of solving quadratic equation. Namely;
- Factorization method
- Completing the square method
- Graphical method
- Formula method
0 = -2x² + 5x - 3
- Using quadratic formula
x = -b ± √b² - 4ac / 2a
where,
- a = -2
- b = 5
- c = -3
x = -b ± √b² - 4ac / 2a
x = -5 ± √5² - 4(-2)(-3) / 2(-2)
= -5 ± √25 - (24) / -2
= -5 ± √1 / -2
= -5/2 ± 1/2
= -5/2 - 1/2 or x = -5/2 + 1/2
= -5-1 / 2 or -5+1/ 2
x = -6/2 or -4/2
x = -3 or -2
Therefore, the solution to the quadratic equation is x = -3 or -2
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<h2>Explanation:</h2><h2></h2>
Hello! remember you have to write complete questions in order to get good and exact answers. Here I'll explain this in a general way assuming the following table:
As you can see, x increases in steps of 1 units. So let's check the difference in y:
So we have a constant difference and we can conclude the table represents a line. Since the line passes through then y is directly proportional to x, so we can write:
Then:
Finally, the equation of the line is: