Question

Решите уравнение:
M^2- 25=0
X^2- 36=0
9X^2- 4=0
16X^2- 49=0

Answer 1

1)M²-25=0

M²=25

M=+-√25

M= +- 5

2) X²-36=0

X²=36

X=+-√36

X=+-6

3)9X²-4=0

9X²=4

X²=4/9

X=+-√(4/9)

X=+- 2/3

4) 16X²-49=0

16X²=49

X²=49/16

X=+-√(49/16)

X= +- 7/4

Answer 2

1)
${m}^{2} - 25 = 0 \\ (m - 5)(m + 5) = 0 \\ m - 5 = 0. \: \: m = 5 \\ m + 5 = 0. \: \: m = - 5$
2)
${x}^{2} - 36 = 0 \\ (x - 6)(x + 6) = 0 \\ x - 6 = 0. \: \: x = 6 \\ x + 6 = 0. \: \: x = - 6$
Ответ: -6; 6.

3)
$9 {x}^{2} - 4 = 0 \\ (3x - 2)(3x + 2) = 0 \\ 3x - 2 = 0. \: \: x = \frac{2}{3} \\ 3x + 2 = 0. \: \: x = - \frac{2}{3}$
Ответ: -2/3; 2/3.

4)
$16 {x}^{2} - 49 = 0 \\ (4x - 7)(4 x + 7) = 0 \\ 4x - 7 = 0. \: \: x = \frac{7}{4} \\ 4x + 7 = 0. \: \: x = - \frac{7}{4}$
Ответ: -7/4; 7/4.