Advertisements
Advertisements
Question
Solve equation using factorisation method:
(2x – 3)2 = 49
Advertisements
Solution
(2x – 3)2 = 49
Taking square root on both sides
2x – 3 = ± 7
When 2x – 3 = 7
⇒ 2x = 10
⇒ x = 5
And when 2x – 3 = –7
⇒ 2x = – 4
⇒ x = – 2
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
`(x - 5)(x - 6) = 25/(24)^2`
A two digit number is such that the product of the digits is 16. When 54 is subtracted from the number the digits are interchanged. Find the number
Solve the following quadratic equation for x:
x2 − 4ax − b2 + 4a2 = 0
Determine whether the values given against the quadratic equation are the roots of the equation.
2m2 – 5m = 0, m = 2, `5/2`
Solve the following quadratic equations by factorization:
\[\frac{x + 1}{x - 1} + \frac{x - 2}{x + 2} = 4 - \frac{2x + 3}{x - 2}; x \neq 1, -2, 2\]
Find the values of k for which the quadratic equation \[\left( 3k + 1 \right) x^2 + 2\left( k + 1 \right)x + 1 = 0\] has equal roots. Also, find the roots.
Find the discriminant of the quadratic equation \[3\sqrt{3}x^2 + 10x + \sqrt{3} = 0\].
Solve equation using factorisation method:
`6/x = 1 + x`
Use the substitution y = 3x + 1 to solve for x : 5(3x + 1 )2 + 6(3x + 1) – 8 = 0
The age of a man is twice the square of the age of his son. Eight years hence, the age of the man will be 4 years more than three times the age of his son. Find the present age.
