Question

The quadratic graph whose sum of zeroes is 0 and that of its product is -1 is given by

(a) y = x2

– x (b) y = x2 + x (c) y = x2

– 1 (d) y = x2 + 1​

Answer 1

Step-by-step explanation:

$given \: that \: sum \: of \: zeroes \: is \: 0 \\ \: and \: product \: is \: - 1$

we know that sum of zero is -b/a and product of the zeroes is c/a

$\frac{0}{1} = \frac{ - b}{a} \\ here \: we \: got \: b \: = 0 \: and \: a = 1 \:$

now let's find c

$\frac{ - 1}{1} = \frac{c}{a} \\ here \: from \: the \: sum \: of \: the \: equation \: \\ we \: got \: that \: a \: = 1 \: and \: c \: = - 1$

therefore we got all the values

$quadratic \: equation \: is \\ {ax}^{2} + bx + c = 0 \\ 1 {x}^{2} + 0x + ( - 1) = 0 \\ therefore \: we \: got \\ {x}^{2} + 0x - 1 = 0$

Hope it helps