Question

Find the zeroes of the quadratic polynomial 2xsquare-10 and verify the relationship between the zeroes and the coefficients.​

Answer 1

$\huge {\boxed {\red{question}}}$

Find the zeroes of the quadratic polynomial 2xsquare-10 and verify the relationship between the zeroes and the coefficients.

$\huge {\boxed {\purple{answer}}}$

$2 {x}^{2} - 10$

$2 {x}^{2} = 10$

${x}^{2} = \frac{10}{2}$

${x}^{2} = 5$

${x}^{2} = + - \sqrt{5}$

$zeroes$

$\mathfrak \orange{x = + \sqrt{5} \:} and \: \purple{ x = - \sqrt{5} }$

sum,

$= \frac{ - b}{a} = \frac{ - 0}{2} = 0$

product,

$\frac{c}{a} = \frac{ - 10}{2} = - 5$

$\huge{\boxed {\pink {verfication}}}$

$sum = \alpha + \beta = \sqrt{5} + ( - \sqrt{5} ) = \sqrt{5} - \sqrt{5} = 0$

$product = \alpha \times \beta = \sqrt{5} \times ( - \sqrt{5} ) = - 5$

HENCE, VERIFIED.......