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Juliette [100K]
3 years ago
11

Which is the solution t other equation (x-2)(x+5)=18

Mathematics
2 answers:
Lapatulllka [165]3 years ago
6 0

(x-2)(x+5)=18

x²-2x+5x-10 =18

x² + 3x -28 = 0 -28 = 7*(-4), 3=7+(-4)

(x+7)(x-4)=0

x= - 7, x=4

mamaluj [8]3 years ago
3 0

(x-2)(x+5)=18


\\expand expression

x² -2x + 5x - 10 = 18


\\combine like terms

x² + 3x - 10 = 18


\\Take away 18 from both sides

x² + 3x - 28 = 0


\\factorise x² + 3x - 28

(x + 7)(x - 4) = 0


\\apply zero product property

x + 7 = 0 or x - 4 = 0


\\Evaluate

x = -7 or x = 4


Answer: x = -7 or 4

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