Ax^2 + bx + c = 0 akar-akarnya saling berlawanan artinya : b = 0 => (x1 = -x2 => x1 + x2 = -b/a => -x2 + x2 = -b/a => 0 = b)
(x^2 - bx)/(ax - c) = (m - 1)/(m + 1) (x^2 - bx)(m + 1) = (ax - c)(m - 1) mx^2 + x^2 - bmx - bx = amx - ax - cm + c mx^2 + x^2 - bmx - bx - amx + ax + cm - c = 0 (m + 1)x^2 - (bm + b + am - a)x + (cm - c) = 0 Akar-akarnya berlawanan => b = 0 - (bm + b + am - a) = 0 ===> kali (-1) bm + b + am - a = 0 bm + am = a - b m(a + b) = a - b m = (a - b)/(a + b)
Verified answer
Materi: Persamaan dan Fungsi KuadratVerified answer
Ax^2 + bx + c = 0 akar-akarnya saling berlawanan artinya :b = 0 => (x1 = -x2 => x1 + x2 = -b/a => -x2 + x2 = -b/a => 0 = b)
(x^2 - bx)/(ax - c) = (m - 1)/(m + 1)
(x^2 - bx)(m + 1) = (ax - c)(m - 1)
mx^2 + x^2 - bmx - bx = amx - ax - cm + c
mx^2 + x^2 - bmx - bx - amx + ax + cm - c = 0
(m + 1)x^2 - (bm + b + am - a)x + (cm - c) = 0
Akar-akarnya berlawanan => b = 0
- (bm + b + am - a) = 0 ===> kali (-1)
bm + b + am - a = 0
bm + am = a - b
m(a + b) = a - b
m = (a - b)/(a + b)