Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation by factorisation.
7m2 = 21m
उत्तर
\[7 m^2 = 21m\]
\[\Rightarrow 7 m^2 - 21m = 0\]
\[ \Rightarrow 7m\left( m - 3 \right) = 0\]
\[ \Rightarrow 7m = 0 \text{ or } m - 3 = 0\]
\[ \Rightarrow m = 0 \text{ or } m = 3\]
APPEARS IN
संबंधित प्रश्न
Solve (i) x2 + 3x – 18 = 0
(ii) (x – 4) (5x + 2) = 0
(iii) 2x2 + ax – a2 = 0; where ‘a’ is a real number
Solve the following quadratic equations by factorization:
`1/(x-1)-1/(x+5)=6/7` , x ≠ 1, -5
The sum of two numbers is 48 and their product is 432. Find the numbers?
Find the consecutive even integers whose squares have the sum 340.
A two digits number is such that the product of the digits is 12. When 36 is added to the number, the digits inter change their places determine the number.
The area of a right angled triangle is 165 m2. Determine its base and altitude if the latter exceeds the former by 7 m.
The sum of a natural number and its square is 156. Find the number.
Write the number of real roots of the equation x2 + 3 |x| + 2 = 0.
Show that x = −2 is a solution of 3x2 + 13x + 14 = 0.
If x = 1 is a common root of ax2 + ax + 2 = 0 and x2 + x + b = 0, then, ab =
Solve the following equation: `("x" + 3)/("x" + 2) = (3"x" - 7)/(2"x" - 3)`
Solve the following equation: `"m"/"n" "x"^2 + "n"/"m" = 1- 2"x"`
Solve the following equation: `("a+b")^2 "x"^2 - 4 "abx" - ("a - b")^2 = 0`
Solve the following quadratic equation by factorisation:
2x2 + ax - a2 = 0 where a ∈ R.
Solve the following equation by factorization
(x – 3) (2x + 5) = 0
Find two consecutive natural numbers such that the sum of their squares is 61.
Rs. 7500 is divided equally among a certain number of children. Had there been 20 less children, each would have receive Rs 100 more. Find the original number of children.
A shopkeeper buys a certain number of books for Rs 960. If the cost per book was Rs 8 less, the number of books that could be bought for Rs 960 would be 4 more. Taking the original cost of each book to be Rs x, write an equation in x and solve it to find the original cost of each book.
At t minutes past 2 pm, the time needed by the minutes hand of a clock to show 3 pm was found to be 3 minutes less than `t^2/4` minutes. Find t.
