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ohaa [14]
3 years ago
8

Solve this quadratic equation using factorization 8xsquared-14x-4=0

Mathematics
2 answers:
Inga [223]3 years ago
7 0
X=2 is the answer for this question.
antiseptic1488 [7]3 years ago
6 0

Answer:

x = - \frac{1}{4}, x = 2

Step-by-step explanation:

Given

8x² - 14x - 4 = 0 ( divide through by 2 to simplify )

4x² - 7x - 2 = 0

To factorise the quadratic

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 = 4 × - 2 = - 8 and sum = - 7

The factors are - 8 and + 1

Use these factors to split the x- term

4x² - 8x + x - 2 = 0 ( factor the first/second and third/fourth terms )

4x(x - 2) + 1(x - 2) = 0 ← factor out (x - 2) from each term

(x - 2)(4x + 1) = 0

Equate each factor to zero and solve for x

4x + 1 = 0 ⇒ 4x = - 1 ⇒ x = - \frac{1}{4}

x - 2 = 0 ⇒ x = 2

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