Solve for x: −2(x − 2)2 + 5 = 0

round your answer to the nearest hundredth.

a)x = 3.58, 0.42
b)x = 4.52, −0.52
c)x = −3.58, −0.42
d)x = −4.52, 0.52

Option A

The values of x are 3.58 or 0.42

Solution:

Given, equation is

We have to solve for the x and choose from the options given,

Now, take the equation,

Negative sign cancels on both sides

Taking square root on both sides, we get

Hence, the values of x are 3.58 or 0.42, so option A is correct.

here is a big fat

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!