Advertisements
Advertisements
Question
Check whether the following is the quadratic equation:
(2x - 1)(x - 3) = (x + 5)(x - 1)
Solution
(2x - 1)(x - 3) = (x + 5)(x - 1)
⇒ 2x2 - 6x - x + 3 = x2 - x + 5x - 5
⇒ 2x2 - 7x + 3 = x2 + 4x - 5
⇒ 2x2 - 7x + 3 - x2 - 4x + 5 = 0
⇒ x2 - 11x + 8 = 0
It is of the form ax2 + bx + c = 0.
Hence, the given equation is quadratic equation.
APPEARS IN
RELATED QUESTIONS
If α + β = 5 and α3 +β3 = 35, find the quadratic equation whose roots are α and β.
Check whether the following is the quadratic equation:
(x + 2)3 = 2x(x2 - 1)
The equation 3x2 – 12x + (n – 5) = 0 has equal roots. Find the value of n.
Solve : (2x – 3)² = 49
Solve: x4 – 2x² – 3 = 0.
Solve:
`2(x^2 + 1/x^2) - (x + 1/x) = 11`
Which of the following are quadratic equation in x?
`x^2-1/x^2=5`
`15x^2-28=x`
`2x^2+ax-a^2=0`
` x^2+6x-(a^2+2a-8)=0`
`3((7x+1)/(5x-3))-4((5x-3)/(7x+1))=11,x≠3/5,-1/7`
`((4x-3)/(2x+1))-10((2x+1)/(4x-3))=3,x≠-1/2,3/4`
A scholarship account of Rs 75,000 was distributed equally among a certain number of students. Had there been 10 students more, each would have got Rs 250 less. Find the original number of persons.
One fourth of herd of camel was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camel.
Is x = –3 a solution of the quadratic equation 2x2 – 7x + 9 = 0?
Find the quadratic equation, whose solution set is:
{3,5}
Which of the following are quadratic equation:
(2x - 3) (x + 5) = 2 - 3x
Choose the correct alternative answer for the following sub questions and write the correct alphabet.
Which of the following is a quadratic equation?
If x2 – 2x – 3 = 0; values of x correct to two significant figures are ______.
