Advertisements
Advertisements
Question
Solve the following quadratic equations by factorization:
3x2 = -11x - 10
Advertisements
Solution
We have been given
3x2 = -11x - 10
3x2 + 11x + 10 = 0
3x2 + 6x + 5x + 10 = 0
3x(x + 2) + 5(x + 2) = 0
(x + 2)(3x + 5) = 0
Therefore,
3x + 5 = 0
3x = -5
x = -5/3
or,
x + 2 = 0
x = -2
Hence, x = -5/3 or x = -2
APPEARS IN
RELATED QUESTIONS
Find the roots of the following quadratic equation by factorisation:
`sqrt2 x^2 +7x+ 5sqrt2 = 0`
Solve the following quadratic equations by factorization:
`x^2-(sqrt3+1)x+sqrt3=0`
Solve the following quadratic equations by factorization:
`(x-1)/(2x+1)+(2x+1)/(x-1)=5/2` , x ≠ -1/2, 1
Solve the following quadratic equations by factorization:
`1/(x+4)-1/(x-7)=11/30` , x ≠ 4, 7
Solve of the following equations, giving answer up to two decimal places.
3x2 – x – 7 =0
Solve the following quadratic equations by factorization:
`(x + 3)^2 – 4(x + 3) – 5 = 0 `
Two natural number differ by 3 and their product is 504. Find the numbers.
If x = 1 is a common roots of the equations ax2 + ax + 3 = 0 and x2 + x + b = 0, then ab =
Solve the following equation: 2x2 - 3x - 9=0
Solve the following equation: 4x2 - 13x - 12 = 0
The difference of the square of two natural numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.
There is a square field whose side is 44m. A square flower bed is prepared in its centre leaving a gravel path all round the flower bed. The total cost of laying the flower bed and graving the path at Rs 2. 75 and Rs. 1.5 per square metre, respectively, is Rs 4,904. Find the width of the gravel path.
Solve the equation using the factorisation method:
`(3x -2)/(2x -3) = (3x - 8)/(x + 4)`
Solve the following quadratic equation by factorization method : `"x"^2 - 5"x" - 36 = 0`
Find two consecutive natural numbers whose squares have the sum 221.
Solve the following by reducing them to quadratic form:
`sqrt(y + 1) + sqrt(2y - 5) = 3, y ∈ "R".`
In each of the following, determine whether the given values are solution of the given equation or not:
x2 + x + 1 = 0; x = 0; x = 1
The sum of two numbers is 9 and the sum of their squares is 41. Taking one number as x, form ail equation in x and solve it to find the numbers.
Solve the following quadratic equation by factorization method.
3p2 + 8p + 5 = 0
If x4 – 5x2 + 4 = 0; the values of x are ______.
