Question

Find the discrminant of x2+5x+5

Answer 1

$\huge\underline\mathfrak\purple{Answer}$

$d = {b}^{2} - 4ac. \\ \\ \: \: \: = {5}^{2} - 4(1)(5). \\ \\ \: \: \: = 25 - 20. \\ \\ \: \: \: = 5.$

$<marquee>Follow me$

$<marquee>Mark as Brainlies$

Answer 2

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore Discriminant=5}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\underline \bold{Given : } \\ \implies x \in( {x}^{2} + 5x + 5 = 0) \\ \\ \underline \bold{To \: Find: } \\ \implies Discriminant = ?$

• According to given question :

$\bold{a = 1 \: \: \: \: \: \: \: b = 5 \: \: \: \: \: \: \: c = 5} \\ \\ \bold{For \: Finding \: Discriminant : } \\ \implies D = {b}^{2} - 4ac \\ \\ \bold{Putting \: the \: given \: values : } \\ \implies D= {( 5)}^{2} - 4 \times 1 \times 5 \\ \\ \implies D = 25 - 20 \\ \\ \bold{\implies D= 5} \\ \\ \bold{ For \: finding \: x} \\ \implies x = \frac{ - b \pm \sqrt{d} }{2a} \\ \\ \implies x = \frac{ -5 \pm \sqrt{5} }{2 \times 1} \\ \\ \bold{ \implies x = \frac{ - 5 \pm \sqrt{5} }{2} }$