Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation by factorization method : `3x^2-29x+40=0`
उत्तर
`3x^2-29x+40=0`
`3x^2-24x-5x+40=0`
`3x(x-8)-5(x-8)=0`
`(3x-5)(x-8)=0`
`=>x=8 or x=5/3`
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
(2x + 3)(3x − 7) = 0
Solve the following quadratic equations by factorization:
9x2 − 3x − 2 = 0
Solve the following quadratic equations by factorization:
`1/(x-2)+2/(x-1)=6/x` , x ≠ 0
Solve the following quadratic equations by factorization:
`3x^2-2sqrt6x+2=0`
A two-digit number is such that the products of its digits is 8. When 18 is subtracted from the number, the digits interchange their places. Find the number?
Two numbers differ by 3 and their product is 504. Find the number
Solve each of the following equations by factorization :
`6/x=1+x`
If 1 is a root of the quadratic equation \[3 x^2 + ax - 2 = 0\] and the quadratic equation \[a( x^2 + 6x) - b = 0\] has equal roots, find the value of b.
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.
Solve the following equation: `7"x" + 3/"x" = 35 3/5`
Solve equation using factorisation method:
4(2x – 3)2 – (2x – 3) – 14 = 0
Divide 29 into two parts so that the sum of the square of the parts is 425.
Two pipes running together can 1 fill a cistern in 11 1/9 minutes. If one pipe takes 5 minutes more than the other to fill the cistern find the time when each pipe would fill the cistern.
Solve the following equation by factorization
`(2)/(x^2) - (5)/x + 2 = 0, x ≠ 0`
Find the values of x if p + 1 =0 and x2 + px – 6 = 0
A piece of cloth costs Rs. 300. If the piece was 5 metres longer and each metre of cloth costs Rs. 2 less, the cost of the piece would have remained unchanged. How long is the original piece of cloth and what is the rate per metre?
A man spent Rs. 2800 on buying a number of plants priced at Rs x each. Because of the number involved, the supplier reduced the price of each plant by Rupee 1.The man finally paid Rs. 2730 and received 10 more plants. Find x.
Which of the following are the roots of the quadratic equation, x2 – 9x + 20 = 0 by factorisation?
Find the roots of the following quadratic equation by the factorisation method:
`3sqrt(2)x^2 - 5x - sqrt(2) = 0`
If 'p' is a root of the quadratic equation x2 – (p + q) x + k = 0, then the value of 'k' is ______.
