To find the zeros, we need to solve the equation:
x^2 - 5√2x + 12 = 0
Let's solve it by factoring:
(x - a)(x - b) = 0
where a and b are the zeros of the equation.
Multiplying the factors, we have:
x^2 - (a + b)x + ab = 0
Comparing this to the original equation, we can see that:
a + b = 5√2 (1)
ab = 12 (2)
We need to find two numbers that add up to 5√2 and multiply to 12.
One possible set of numbers that satisfies these conditions is a = 3√2 and b = 2√2. This means that the zeros of the equation are x = 3√2 and x = 2√2.
Therefore, the zeroes of the equation x^2 - 5√2x + 12 are x = 3√2 and x = 2√2.
Find zeroes of x square -5√ 2x + 12 .
1 answer