X2 + 17x − 12 = −84

Mathematics

1 answer:

VashaNatasha [74]3 years ago

6 0

Answer:

Step-by-step explanation:

The given quadratic equation is expressed as

x^2 + 17x − 12 = −84

Adding -84 to the left hand side and the right hand side of the equation, it becomes

x^2 + 17x − 12 + 84 = −84 + 84.

x^2 + 17x + 72 = 0

We would find two numbers such that their sum or difference is 17x and their product is 72x^2. The two numbers are 8x and 9x. Therefore

x^2 + 8x + 9x + 72 = 0

x( x + 8) + 9(x + 8) = 0

x + 9 = 0 or x + 8 = 0

x - 9 or x = 8

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