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
Solve the following quadratic equation for x: x2 – 2ax – (4b2 – a2) = 0
Solve for x :
`1/(2x - 3) + 1/(x - 5) = 1 1/9 , X != 3/2, 5`
The sum of a number and its reciprocal is 17/4. Find the number.
The speed of a boat in still water is 8 km/hr. It can go 15 km upstream and 22 km downstream in 5 hours. Find the speed of the stream.
The area of a right angled triangle is 165 m2. Determine its base and altitude if the latter exceeds the former by 7 m.
Solve:
`1/(x + 1) - 2/(x + 2) = 3/(x + 3) - 4/(x + 4)`
Solve the following quadratic equations by factorization:
`(3x-2)/(2x-3)=(3x-8)/(x+4)`
Solve the following quadratic equations by factorization:
`100/x-100/(x+5)=1`
Solve the following quadratic equations by factorization: \[2 x^2 + ax - a^2 = 0\]
Find the values of p for which the quadratic equation
If a and b can take values 1, 2, 3, 4. Then the number of the equations of the form ax2 +bx + 1 = 0 having real roots is
Solve the following equation: `"a"/("x" - "a") + "b"/("x" - "b") = (2"c")/("x" - "c")`
Solve the following equation: abx2 +(b2-ac) x - bc = 0
Solve the following quadratic equation by factorisation method:
`x/(x + 1) + (x + 1)/x = (34)/(15') x ≠ 0, x ≠ -1`
In each of the following, determine whether the given values are solution of the given equation or not:
2x2 - x + 9 = x2 + 4x + 3; x = 2, x = 3
Solve the following equation by factorization
5x2 – 8x – 4 = 0 when x∈Q
Solve the following equation by factorization
`x/(x - 1) + (x - 1)/x = 2(1)/(2)`
Solve the following equation by factorization
`(x + 1)/(x - 1) + (x - 2)/(x + 2)` = 3
Find three consecutive odd integers, the sum of whose squares is 83.
Two years ago, a man’s age was three times the square of his daughter’s age. Three years hence, his age will be four times his daughter’s age. Find their present ages.
