Question

The common root of the quadratic equation x2– 3x + 2 = 0 and 2x2– 5x + 2 = 0 is​

Answer 1

Answer:

The common root of the quadratic equations x2 – 3x + 2 = 0 and 2x2-5x+2=0 is 2.

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Answer 2

Answer:

2.

Step-by-step explanation:

Let that common root be 'a'.

When x = a, both the equation will give same result. So, we can say,

=> x² - 3x + 2 = 2x² - 5x + 2, for x = a.

=> a² - 3a + 2 = 2a² - 5a + 2

=> a² - 2a² - 3a + 5a + 2 - 2 = 0

=> - a² + 2a = 0

=> - a(a - 2) = 0

=> a = 0 or 2.

a = 2, can be given more priority.