To solve the quadratic equation x2 - 24 = 5x by factorisation method, we need to write -24 as the product of
Answers
Answer:
-8 and 3
Solution:
Given Quadratic equation → x² - 24 = 5x
Rearranging the above equation,
x² - 24 - 5x = 0
⇒ x² - 5x - 24 = 0
Now, find 2 numbers such that:
- Their product is -24 and
- Their sum is -5
The 2 numbers which satisfies these conditions are 3 and -8.
Now we can factorise this by splitting the middle term.
x² - 5x - 24 = 0
⇒ x² + 3x - 8x - 24 = 0
⇒ x(x + 3) - 8(x + 3) = 0
⇒ (x - 8) (x + 3) = 0
Hence,
- x - 8 = 0 ⇒ x = 8
- x + 3 = 0 ⇒ x = -3
∴ x = 8 or -3
Step-by-step explanation:
[tex]Answer:
-8 and 3
Solution:
Given Quadratic equation → x² - 24 = 5x
Rearranging the above equation,
x² - 24 - 5x = 0
⇒ x² - 5x - 24 = 0
Now, find 2 numbers such that:Their product is -24 andTheir sum is -5
The 2 numbers which satisfies these conditions are 3 and -8.
Now we can factorise this by splitting the middle term.
x² - 5x - 24 = 0
⇒ x² + 3x - 8x - 24 = 0
⇒ x(x + 3) - 8(x + 3) = 0
⇒ (x - 8) (x + 3) = 0
Hence,
x - 8 = 0 ⇒ x = 8
x + 3 = 0 ⇒ x = -3
∴ x = 8 or -3