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Firlakuza [10]
3 years ago
7

Use the zero product property to find the solutions to the equation 2x2 + x-1 = 2

Mathematics
2 answers:
algol [13]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Given

2x² + x - 1 = 2 ( subtract 2 from both sides )

2x² + x - 3 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 3 = - 6 and sum = + 1

The factors are - 2 and + 3

Use these factors to split the x- term

2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(2x + 3) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - \frac{3}{2}

Marizza181 [45]3 years ago
3 0

Answer:

C.  x=-3/2  or  x=1

This is the answer on <em>Edgenuity </em>:)

(Thank you comment person)

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