Advertisements
Advertisements
प्रश्न
Solve the following quadratic equations by factorization:
5x2 - 3x - 2 = 0
Advertisements
उत्तर
We have been given
5x2 - 3x - 2 = 0
5x2 - 5x + 2x - 2 = 0
5x(x - 1) + 2(x - 1) = 0
(5x + 2)(x - 1) = 0
Therefore,
5x + 2 = 0
5x = -2
x = -2/5
or,
x - 1 = 0
x = 1
Hence, x = -2/5 or x = 1.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`(x-1/2)^2=4`
Solve the following quadratic equations by factorization:
`1/(x-2)+2/(x-1)=6/x` , x ≠ 0
Solve the following quadratic equations by factorization:
abx2 + (b2 – ac)x – bc = 0
The time taken by a person to cover 150 km was 2.5 hrs more than the time taken in the return journey. If he returned at a speed of 10 km/hr more than the speed of going, what was the speed per hour in each direction?
Solve:
`(x/(x + 2))^2 - 7(x/(x + 2)) + 12 = 0; x != -2`
Write the condition to be satisfied for which equations ax2 + 2bx + c = 0 and \[b x^2 - 2\sqrt{ac}x + b = 0\] have equal roots.
The positive value of k for which the equation x2 + kx + 64 = 0 and x2 – 8x + k = 0 will both have real roots, is ______.
Solve the following equation: 3x2 + 25 x + 42 = 0
Solve the following equation: c
Solve the following equation: `"m"/"n" "x"^2 + "n"/"m" = 1- 2"x"`
Solve the following equation: `"a"("x"^2 + 1) - x("a"^2 + 1) = 0`
The present age of the mother is square of her daughter's present age. 4 years hence, she will be 4 times as old as her daughter. Find their present ages.
The area of right-angled triangle is 600cm2. If the base of the triangle exceeds the altitude by 10cm, find the dimensions of the triangle.
A two digit number is such that the product of its digit is 14. When 45 is added to the number, then the digit interchange their places. Find the number.
Solve: x(x + 1) (x + 3) (x + 4) = 180.
Solve the following equation by factorization
x2 – 3x – 10 = 0
Solve the following equation by factorization
a2x2 + (a2+ b2)x + b2 = 0, a ≠ 0
Find two consecutive natural numbers such that the sum of their squares is 61.
The hypotenuse of grassy land in the shape of a right triangle is 1 metre more than twice the shortest side. If the third side is 7 metres more than the shortest side, find the sides of the grassy land.
In an auditorium, the number of rows are equal to the number of seats in each row.If the number of rows is doubled and number of seats in each row is reduced by 5, then the total number of seats is increased by 375. How many rows were there?
