Question

x2-3x-4=0 solve the quadratic equation ​

Answer 1

Answer:

The values of x are -1 and 4.

Step-by-step explanation:

Given,

The quadratic equation:

x² - 3x - 4 = 0

To find,

The value of x in the given quadratic equation.

Calculation,

Task(1): Here we need to split the middle term as two terms such that when multiplied we need to get the multiplied term of the first and last terms in the quadratic equation.

x² - 3x - 4 = 0

⇒ x² -4x + x - 4 = 0

Here we have split -3x as (-4x + x), but when -4x and x are multiplied we get -4x² which is the term obtained when multiplying x²(first) and -4(last).

Task(2): We need to take the common terms and equate it to zero to find the values of 'x'.

x² -4x + x - 4 = 0

⇒ x(x - 4) + (x - 4) = 0

⇒ (x - 4)(x + 1) = 0

⇒ (x - 4) = 0 or (x + 1) = 0

⇒ x = -1, 4

Therefore, the values of x are -1 and 4.

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