amydelancey amydelancey

13-09-2016
Mathematics

Answered

number 53

Find the x-intercepts of y = 4x2 - 15x - 4.

4 and 1/4

-21 and 10

-1/4 and 4

No x-intercepts exist.

Verified Answer :

dalendrk dalendrk

13-09-2016

x-intercepts
f(x) = 0

4x² - 15x - 4 = 0

4x² - 16x + x - 4 = 0

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

(x - 4)(4x + 1) = 0 ⇔ x - 4 = 0 or 4x + 1 = 0

x = 4 or 4x = - 1 ⇒ x = - 1/4

Answer: -1/4 and 4.

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