Question

the sum roots of qua
dratic polynomial x2 +7x+10 will be​

Answer 1

Step-by-step explanation:

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Answer 2

$✥ \underline{ \boxed{ \sf \blue{ GIVEN }}}$

$\sf✹ {x}^{2} + 7x + 10$

$✥ \underline{ \boxed{ \sf \green{ FIND }}}$

$\sf✹ Sum \: of \: the \: zeroes = ?$

$✥ \underline{ \boxed{ \sf \red{ SOLUTION }}}$

$\sf ⇻f1stly \: find \: the \: zeroes \: of \: given \: eq.$

$\sf \implies {x}^{2} + 7x + 10 = 0$

$\sf ☄middle \: split \: term$

$\sf ➼ {x}^{2} + 5x + 2x + 10 = 0$

$\sf ➼ x(x + 5) + 2(x + 5) = 0$

$\sf ➼ (x + 5) (x + 2) = 0$

$\sf♲then \: \: \: \: (x + 5) = 0 \: \: or \: \: \: (x + 2) = 0$

$\sf \implies x = - 5 \: \: \: or \: \: \: x = - 2$

$\sf ❋so \: value \: of \: zeroes \: of \: given \: eq. \: are \\ \sf -5,-2$

$\sf✱the \: sum \: of \: zeroes \: is = - 5 + ( - 2) \\ \sf = - 5 - 2 \\ \sf = - 7$

$\tt➲so \boxed{ - 7} \: are \: sum \: of \: zeroes.$