Advertisements
Advertisements
प्रश्न
Solve the following quadratic equations by factorization:
3x2 = -11x - 10
Advertisements
उत्तर
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
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`(x-3)/(x+3)-(x+3)/(x-3)=48/7` , x ≠ 3, x ≠ -3
Solve the following quadratic equations by factorization:
`x^2+(a+1/a)x+1=0`
A passenger train takes 2 hours less for a journey of 300 km if its speed is increased by 5 km/hr from its usual speed. Find the usual speed of the train.
Two pipes running together can fill a tank in `11 1/9` minutes. If one pipe takes 5 minutes more than the other to fill the tank separately, find the time in which each pipe would fill the tank separately.
A teacher on attempting to arrange the students for mass drill in the form of solid square found that 24 students were left. When he increased the size of the square by one student, he found that he was short of 25 students. Find the number of students.
Solve the following quadratic equation for x:
`4sqrt3x^3+5x-2sqrt3=0`
Find the roots of the quadratic equation \[\sqrt{2} x^2 + 7x + 5\sqrt{2} = 0\].
Find the value of k for which the following equations have real and equal roots:
\[x^2 + k\left( 2x + k - 1 \right) + 2 = 0\]
If one of the equation x2 + ax + 3 = 0 is 1, then its other root is
Solve the following equation :
`("x" - 1)/("x" - 2) + ("x" - 3)/("x" - 4) = 3 1/3`
Solve the following quadratic equation using formula method only
6x2 + 7x - 10 = 0
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
Three consecutive natural numbers are such that the square of the first increased by the product of other two gives 154. Find the numbers.
Solve the following equation by factorization
`x^2/(15) - x/(3) - 10` = 0
Five times a certain whole number is equal to three less than twice the square of the number. Find the number.
Mohini wishes to fit three rods together in the shape of a right triangle. If the hypotenuse is 2 cm longer than the base and 4 cm longer than the shortest side, find the lengths of the rods.
In a P.T. display, 480 students are arranged in rows and columns. If there are 4 more students in each row than the number of rows, find the number of students in each row.
A farmer wishes to grow a 100 m2 rectangular vegetable garden. Since he has with him only 30 m barbed wire, he fences three sides of the rectangular garden letting compound wall of his house act as the fourth side fence. Find the dimensions of his garden.
A wire ; 112 cm long is bent to form a right angled triangle. If the hypotenuse is 50 cm long, find the area of the triangle.
The roots of the equation x2 + 3x – 10 = 0 are ______.
