Question

Form a quadratic equation with 1/4,-1 as sum of zeroes & product ofzeroes​

Answer 1

Answer:

1/4x^2+-1x where x+0=0

Step-by-step explanation:

Answer 2

$\huge\underline\mathbb{\red S\pink{O}\purple{LU} \blue{T} \orange{IO}\green{N :}}$

★ Given that,

• Sum of the zeroes : α + ß = 1/4
• Product of the zeroes : αß = - 1

★ We know that,

General form the quadratic polynomial is :

$\sf\:⟹ x^{2} - (\alpha + \beta)x + \alpha\beta = 0$

• Substitute the zeroes.

$\tt\:⟹x^{2} - (\frac{1}{4})x + (-1) = 0$

$\tt\:⟹x^{2} - \frac{x}{4} - 1 = 0$

$\tt\:⟹\frac{4x^{2} - x - 4}{4}= 0$

$\tt\:⟹4x^{2} - x - 4 = 0 \times 4$

$\tt\:⟹4x^{2} - x - 4 = 0$

$\underline{\boxed{\bf{\purple{∴ Hence,\:the\:quadratic\:polynomial\:is\:“ \: 4x^{2} - x - 4 = 0 \: ”}}}}$