Advertisements
Advertisements
Question
In each of the following determine whether the given values are solutions of the equation or not.
x2 + 6x + 5 = 0; x = -1, x = -5
Advertisements
Solution
Given equation is
x2 + 6x + 5 = 0; x = -1, x = -5
Substitute x = -1 in L.H.S.
L.H.S. = (-1)2 + 6 x (-1) + 5
= 1 - 6 + 5
= 6 - 6
= 0
Hence, x = -1 is a solution of the given equation.
Again put x = -5 in L.H.S.
L.H.S. = (-5)2 + 6 x (-5) + 5
= 25 - 30 + 5
= 30 - 30
= 0
Hence, x = -5 is also a solution of the given equation.
RELATED QUESTIONS
Three consecutive positive integers are such that the sum of the square of the first and the product of other two is 46, find the integers.
Show that x = –2 is a solution of 3x2 + 13x + 14 = 0.
If y = 1 is a common root of the equations \[a y^2 + ay + 3 = 0 \text { and } y^2 + y + b = 0\], then ab equals
One fourth of a herd of camels 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 camels.
A shopkeeper purchases a certain number of books for Rs. 960. If the cost per book was Rs. 8 less, the number of books that could be purchased for Rs. 960 would be 4 more. Write an equation, taking the original cost of each book to be Rs. x, and Solve it to find the original cost of the books.
Solve the following quadratic equation by factorisation:
x2 + 3x - 18 = 0
Solve the following by reducing them to quadratic equations:
`((7y - 1)/y)^2 - 3 ((7y - 1)/y) - 18 = 0, y ≠ 0`
Solve the following equation by factorization
`(x^2 - 5x)/(2)` = 0
The difference between the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.
A piece of cloth costs Rs. 300. If the piece was 5 metres longer and each metre of cloth costs Rs. 2 less, the cost of the piece would have remained unchanged. How long is the original piece of cloth and what is the rate per metre?
