Question

4r²— 49=0 in quadratic equation and working

Answer 1

Answer:

r = -7/2 or r = 7/2

Step-by-step explanation:

4r² - 49 = 0

Rewriting the equation in the form of a² - b²

4r² - 49 = 0

(2r)² - (7)² = 0

Apply the property a² - b²= (a + b)(a - b)

(2r)²- (7)²= 0

(2r + 7)(2r - 7) = 0

Apply the zero property

(2r + 7) (2r - 7) = 0

2r + 7 = 0 or 2r - 7 = 0

2r = -7 or 2r = 7

r = -7/2 or r = 7/2

Answer 2

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$r = \frac{ - 7}{2} \\ or = < r = \frac{7}{2}$