Advertisements
Advertisements
प्रश्न
Solve equation using factorisation method:
(x + 3)2 – 4(x + 3) – 5 = 0
Advertisements
उत्तर
(x + 3)2 – 4(x + 3) – 5 = 0
Let x + 3 = y
Then y2 – 4y – 5 = 0
⇒ y2 – 5y + y – 5 = 0
⇒ y(y – 5) + 1(y – 5) = 0
⇒ (y – 5)(y + 1) = 0
If y – 5 = 0 or y + 1 = 0
Then y = 5 or y = –1
⇒ x + 3 = 5 or x + 3 = –1
⇒ x = 2 or x = – 4
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`(x-a)/(x-b)+(x-b)/(x-a)=a/b+b/a`
Solve the following quadratic equations by factorization:
(a + b)2x2 - 4abx - (a - b)2 = 0
Solve the following quadratic equations by factorization:
(x + 1) (2x + 8) = (x+7) (x+3)
Solve the following quadratic equation by
factorisation.
5m2 = 22m + 15
Find the values of k for which the roots are real and equal in each of the following equation:
\[4 x^2 - 2\left( k + 1 \right)x + \left( k + 1 \right) = 0\]
Is there any real value of 'a' for which the equation x2 + 2x + (a2 + 1) = 0 has real roots?
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 equation x4 + 2x3 - 13x2 + 2x + 1 = 0.
Two squares have sides A cm and (x + 4) cm. The sum of their areas is 656 sq. cm.Express this as an algebraic equation and solve it to find the sides of the squares.
If x = 3 is one root of the quadratic equation 2x2 + px + 30 = 0, find the value of p and the other root of the quadratic equation.
