Question

5bквадрат-14ab/25bквадрат -196a квадрат a=-√2 b=√8

Answer 1

$\frac{5b^{2}-14ab}{25b^{2}-196a^{2}} = \frac{b(5b-14a)}{(5b-14a)(5b+14a)} =\frac{b}{5b+14a} \\ a=- \sqrt{2} \\ b= \sqrt{8} \\ \frac{\sqrt{8}}{5\sqrt{8}+14*(-\sqrt{2})} =\frac{\sqrt{8}}{\sqrt{25*8}-\sqrt{196*2}} =\frac{\sqrt{8}}{\sqrt{25*8}-\sqrt{392}} =\frac{\sqrt{8}}{\sqrt{25*8}-\sqrt{49*8}} = \\ =\frac{\sqrt{8}}{ \sqrt{8}( \sqrt{25}-\sqrt{49})} =\frac{1}{\sqrt{25}-\sqrt{49}} = \frac{1}{5-7} =- \frac{1}{2}=-0.5$

Answer 2

Смотри  надеюсь все понятно

Answer 3

Let's substitute the values of 'a' and 'b' into the given expression and simplify it step by step:

Expression: (5b^2 - 14ab) / (25b^2 - 196a^2) Given values: a = -√2 and b = √8

Step 1: Substitute the values of 'a' and 'b' into the expression:

(5(√8)^2 - 14(-√2)(√8)) / (25(√8)^2 - 196(-√2)^2)

Step 2: Simplify inside the parentheses:

(5(8) + 14(2√2)) / (25(8) - 196(2))

Step 3: Continue to simplify:

(40 + 28√2) / (200 - 392)

Step 4: Further simplify:

(40 + 28√2) / (-192)

Now, this is the simplified expression with the given values of 'a' and 'b'.