-x^(2) +7x-10=o\\ solve using sum product method

Question 1

$-x^(2) +7x-10=o\\$
solve using sum product method

Question 2

$▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's solve ~

$\qquad \sf  \dashrightarrow \: - {x}^(2) + 7x - 10 = 0$

$\qquad \sf  \dashrightarrow \: - {x}^(2) + 2x + 5x - 10 = 0$

$\qquad \sf  \dashrightarrow \: - x(x - 2) + 5(x - 2) = 0$

$\qquad \sf  \dashrightarrow \: ( x- 2)( - x + 5) = 0$

Therefore, there are two solutions for x ;

$\qquad \sf  \dashrightarrow \: x - 2 = 0$

$\qquad \sf  \dashrightarrow \: x = 2$

$\qquad \sf  \dashrightarrow \: - x + 5 = 0$

$\qquad \sf  \dashrightarrow \: - x = - 5$

$\qquad \sf  \dashrightarrow \: x = 5$

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