Transform the polynomial into a perfect square trinomial to solve

x^2-4x=5

a) {-5,13}

b) {-7,11}

c) {1,7}

d) {-1,5}

Question

Mathematics

Tristen Garrett

26 January, 07:23

Transform the polynomial into a perfect square trinomial to solve

x^2-4x=5

a) {-5,13}

b) {-7,11}

c) {1,7}

d) {-1,5}

+5

Answers (1)

Know the Answer?

Teagan · Answer 1

X² - 4x = 5 ⇒ x² - 4x - 5 = 0

x² ⇒ x * x

-5 ⇒ - 5 * 1

-4 ⇒ - 5 + 1

(x + 1) (x - 5) = x (x-5) + 1 (x-5)

x² - 5x + 1x - 5 = x² - 4x - 5

x + 1 = 0

x = - 1

x - 5 = 0

x = 5

y = x² - 4x - 5

y = - 1² - 4 (-1) - 5

y = 1 + 4 - 5

y = 5 - 5

y = 0

y = x² - 4x - 5

y = 5² - 4 (5) - 5

y = 25 - 20 - 5

y = 0

Transform the polynomial into a perfect square trinomial to solvex^2-4x=5a) {-5,13}b) {-7,11}c) {1,7}d) {-1,5}

Transform the polynomial into a perfect square trinomial to solve

x^2-4x=5

a) {-5,13}

b) {-7,11}

c) {1,7}

d) {-1,5}