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what is the sum of the roots of the quadratic equation x
[tex] {x}^{2} + 5x - 14[/tex]


Sagot :

✒️QUADRATIC EQUATION

First Rewrite the expression

x² + 5x - 14

[tex]\huge{↓}[/tex] Write the 5x as a difference

x² + 7x - 2x - 14

Then Factor the expression

+ 7x - 2x - 14

[tex]\huge{↓}[/tex] Factor out x from expression

x × (x + 7) - 2x - 14

Factor the expression again

x × (x + 7) -2 (x + 7)

[tex]\huge{↓}[/tex] Factor out x + 7 from the expression

(x + 7) × (x - 2)

[tex]\large\mathbb{SOLUTION:}[/tex]

(x + 7) × (x - 2)

Therefore the answer is

(x + 7) × (x - 2)

(ノ^_^)ノ [tex] \large\qquad\qquad\qquad\tt 3 / 3/2022 [/tex]