Advertisements
Advertisements
Question
Solve the following quadratic equation by using formula method :
2x2 - 3x = 2
Solution
Given quadratic equation
2x2 - 3x = 2
2x2 - 3x - 2 = 0
a = 2, b = -3, c = -2
By Formula method,
`x = (-b +-sqrt(b^2 - 4ac))/(2a)`
`= (3+-sqrt(9-4(2)(-2)))/(2(2))`
`= (3+-sqrt(9+16))/4`
`= (3 +-5)/4`
`x = (3+5)/4 or x = (3-5)/4`
∴ x = `2, (-1)/2`
APPEARS IN
RELATED QUESTIONS
If α + β = 5 and α3 +β3 = 35, find the quadratic equation whose roots are α and β.
Represent the following situation in the form of a quadratic equation:
The product of two consecutive positive integers is 306. We need to find the integers.
Solve x2 + 7x = 7 and give your answer correct to two decimal places
Check whether the following is quadratic equation or not.
`sqrt(3x^2)-2x+1/2=0`
Check whether the following is quadratic equation or not.
x(x + 1) + 8 = (x + 2) (x - 2)
In the following, determine whether the given values are solutions of the given equation or not:
x2 - 3x + 2 = 0, x = 2, x = -1
4(2x – 3)² – (2x – 3) – 14 = 0
Solve `((2x - 3)/(x -1)) - 4((x - 1)/(2x - 3)) = 3`
Find the quadratic equation, whose solution set is:
`{−3, (−2)/5}`
Find the value of x, if a+1=0 and `x^2 + ax – 6 = 0`
Which of the following are quadratic equation in x?
`x^2-3x-sqrtx+4=0`
Which of the following are quadratic equation in x?
`x-6/x=3`
`9x^2+6x+1=0`
`x/(x-1)+x-1/4=4 1/4, x≠ 0,1`
`3((3x-1)/(2x+3))-2((2x+3)/(3x-1))=5,x≠1/3,-3/2`
Find which of the following equations are quadratic:
5x2 – 8x = –3(7 – 2x)
Check whether the following are quadratic equations: `x^2 + (1)/(x^2) = 3, x ≠ 0`
Solve the following equation by using formula :
`(2x + 5)/(3x + 4) = (x + 1)/(x + 3)`
Choose the correct alternative answer for the following sub questions and write the correct alphabet.
Which of the following is a quadratic equation?
Write the given quadratic equation in standard form and also write the values of a, b and c
4y2 – 3y = – 7
