Question

can any one ans my this questio? it's quadratic equation pls​

Answer 1

Answer :

1) 2y² + 27y + 13 = 0

2y² + y + 26y + 13 = 0

y(2y + 1) + 13(2y + 1) = 0

(2y + 1) (y + 13) = 0

=> y + 13 = 0 ; y = –13

=> 2y + 1 = 0 ; y = –1/2

2) 5m² = 22m + 15

5m² – 22m – 15 = 0

5m² – 25m + 3m – 15 = 0

5m(m – 5) + 3(m – 5) = 0

(m – 5) (5m + 3) = 0

=> m – 5 = 0 ; m = +5

=> 5m + 3 = 0 ; m = –3/5

3) x² – 2x – 3 = 0

x² – 3x + x – 3 = 0

x(x – 3) + 1(x – 3) = 0

(x – 3) (x + 1) = 0

=> x – 3 = 0 ; x = +3

=> x + 1 = 0 ; x = –1

4) x² – 14x + 13 = 0

x² – 13x – x + 13 = 0

x(x – 13) – 1(x – 13) = 0

(x – 13) (x – 1) = 0

=> x – 13 = 0 ; x = +13

=> x – 1 = 0 ; x = +1

5) y² + 8y – 48 = 0

y² + 12y – 4y – 48 = 0

y(y + 12) – 4(y + 12) = 0

(y + 12) (y – 4) = 0

=> y – 4 = 0 ; y = +4

=> y + 12 = 0 ; y = –12