Home
Class 12
MATHS
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` ?

A

`1 and 4`

B

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

C

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

D

No real solutions

Text Solution

Verified by Experts

The correct Answer is:
C
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 ).
Promotional Banner

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

Similar Questions

Explore conceptually related problems

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

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

The sum of all real values of x satisfying the equation (x^(2) -5x+5)^(x^(2)+4x-45)=1 is :

Find the number or real values of x satisfying the equation 9^(2log_(9)x)+4x+3=0 .

The number of real values of x satisfying the equation 3 sin^(-1)x +pi x-pi=0 is/are :

Find the sum of all real values of X satisfying the equation (x^2-5x+5)^(x^2 + 4x -60) = 1 .

The sum of all real values of X satisfying the equation (x^2-5x+5)^(x^2 + 4x -60) = 1 is:

How many real numbers x satisfy the equation 3^(2x+2)-3^(x+3)-3^(x)+3 = 0 ?

If 0 le x le 2pi , then the number of real values of x, which satisfy the equation cos x + cos 2x + cos 3x + cos 4x=0 , is