Which of the following are the real valu...

Which of the following are the real values of x that satisfy the equation `2x ^(2) -5x -2=0` ?

`1 and 4`

`-5/4 + (sqrt41)/(4) and 5/4- (sqrt41)/(4)`

`5/4 + (sqrt41)/(4) and 5/4 - (sqrt41)/(4)`

No real solutions

Text Solution

Verified by Experts

The correct Answer is:

In the given equation, `a=2,b=-5, and c=-2.` Plug these values into the quadratic formula and simplify:
`x = (-b pm sqrt(b ^(2) -4ac))/(2a)`
`x = (- (-5) pm sqrt((-5) ^(2) - 4 (2)(-2)))/(2 (2))`
`x = (5pm sqrt(25 - (-16)))/(4)`
`x = (5 pm sqrt41)/(4)`
`x =5/4+ ( sqrt41)/(4) or x = 5/4 - (sqrt41)/(4)`
The correct answer is (C ).

Topper's Solved these Questions

QUADRATICS
KAPLAN|Exercise GRAPHS OF QUADRATICS|1 Videos
QUADRATICS
KAPLAN|Exercise SYSTEMS OF QUADRATIC AND LINEAR EQUATIONS|1 Videos
QUADRATICS
KAPLAN|Exercise COMPLETING THE SQUARE|1 Videos
PAIRED PASSAGES AND PRIMARY SOURCE PASSAGES
KAPLAN|Exercise HOW MUCH HAVE YOU LEARNED|11 Videos
SAT MATH: TIMING ANS SECTION MANAGEMENT STRATEGIES
KAPLAN|Exercise TRY ON YOU OWN|5 Videos

Which of the following is a value of x that satisfies the equation x ^(2) + 2x -5 =0 ?

`-1`

`1- sqrt6`

`1 + sqrt6`

`-1-sqrt6`

x/(x-3)=(2x)/2 Which of the following represents all the possible values of x that satisfy the equation above?

0 and 2

0 and 4

`–4` and 4

Find the value (s) of x which satisfies the equation 2x^(2) - 9x= - 10 .

2 or 2.5

4 or 3

5 or 2

3 or 7