Question

(x-3) ( x-4) = 34/33^2. solve

Answer 1

Answer:

The solution is $x=\frac{133}{33},\frac{98}{33}$

Step-by-step explanation:

Given : Expression $(x-3)(x-4)=\frac{34}{33^2}$

To find : Solve the expression ?

Solution :

Expression $(x-3)(x-4)=\frac{34}{33^2}$

Solve,

$x^2-4x-3x+12=\frac{34}{1089}$

$x^2-7x+12=\frac{34}{1089}$

Cross multiply,

$1089x^2-7623x+13068=34$

$1089x^2-7623x+13034=0$

Applying middle term split,

$1089x^2-3234x-4389x+13034=0$

$33x(33x-98)-133(33x-98)=0$

$(33x-133)(33x-98)=0$

$33x-133=0,33x-98=0$

$x=\frac{133}{33},x=\frac{98}{33}$

Therefore, The solution is $x=\frac{133}{33},\frac{98}{33}$

Answer 2

Answer:

Step-by-step explanation:

Solution :-

Here, we have

⇒ (x - 3) (x - 4) = 34/33²

⇒ x² - 7x + 12 - 34/33² = 0

⇒ x² - 7x + 13034/33² = 0

⇒ x² - 7x + 98/33 × 133/33 = 0

⇒ x² - 231/33x + 98/33 × 133/33 = 0

By using factorization method, we get

⇒ x² - (98/33 + 133/33)x + 98/33 × 133/33 = 0

⇒ x² - 98/33x - 133/33x + 98/33 × 133/33 = 0

⇒ (x² - 98/33x) - (133/33x - 98/33 × 133/33) = 0

⇒ x(x - 98/33) - 133/33(x - 98/33) = 0

⇒ (x - 98/33) (x - 133/33) = 0

⇒ x - 98/33 = 0 or x - 133/33 =

⇒ x = 98/33, 133/33

Hence, x = x = 98/33, 133/33.