Question

Find a quadratic polynomial for which the sum and the product of zeros are √5 and 3/4 respectively.​

Answer 1

Answer:

• Given the sum and product of zeros are √5 and ¾ respectively✓

let us think the zeros be

$\alpha \: and \: \beta$

So According to the Question the sum and product of zeros are

$= > \alpha + \beta = \sqrt{3} \\ \\ = > \alpha \beta = \frac{3}{4}$

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So, The formula to find a Quadratic equation is as follows ✓

$f(x) = x ^{2} - (sum \: of \: zeros)x + (product \: f \: zeros)$

Let

$= > f(x) = 0 \\ \\ = > so \: our \: quadratic \: equation \: is \: = 0$

So now let us find the required Quadratic equation which is as follows :

$= > f(x) = 0 \\ \\ = > x ^{2} - ( \alpha + \beta )x + \alpha \beta = 0 \\ \\ = x ^{2} - (3)x + \frac{3}{4} = 0 \\ \\ = > x ^{2} - 3x + 4 \frac{3}{4} = 0$

So our required Quadratic equation is

$x ^{2} - 3x + \frac{3}{4} = 0$

Answer 2

Answer:

4 will be LCM

Step-by-step explanation:

fotmula to solve is x2-(sum)x+product