Question

Прошу помогите пожалуйста

Answer 1

$1){x}^{2} - 26x + 133 = 0 \ d = 676 - 532 = 144 = 12 \ x1 = frac{26 - 12}{2} = frac{14}{2} = 7$

$x2 = frac{26 + 12}{2} = frac{38}{2} = 19$

$x1 + x2 = 7 + 19 = 26$

$x1 times x2 = 7 times 19 = 133$

$2) {x}^{2} - 7x - 30 = 0 \ d = 49 + 120 = 169 = 13 \ x1 = frac{7 - 13}{2} = - frac{6}{2} = - 3$

$x2 = frac{7 + 13}{2} = frac{20}{2} = 10$

$x1 + x2 = - 3 + 10 = 7 \ x1 times x2 = - 3 times 10 = - 30$

$3) {x}^{2} - 18x + 45 = 0 \ d = 324 - 180 = 144 = 12 \ x1 = frac{18 - 12}{2} = frac{6}{2} = 3$

$x2 = frac{18 + 12}{2} = frac{30}{2} = 15$

$x1 + x2 = 3 + 15 = 18 \ x1 times x2 = 3 times 15 = 45$

4)

${x}^{2} - 12x - 28 = 0 \ d = 144 + 112 = 256 = 16 \ x1 = frac{12 - 16}{2} = - frac{4}{2} = - 2$

$x2 = frac{12 + 16}{2} = frac{28}{2} = 14$

$x1 + x2 = - 2 + 14 = 12 \ x1 times x2 = - 2 times 14 = - 28$