Question

45+32х +5х2= 3x-15+10 х помогите до 9​

Answer 1

2)

$45 + 32x + 5 {x}^{2} = 3 {x}^{2} - 15 + 10x \\ 45 + 32x + 5 {x}^{2} - 3 {x}^{2} + 15 - 10x = 0 \\ 2 {x}^{2} + 22x + 60 = 0 \\ {x}^{2} + 11x + 30 = 0$

По теореме Виета :

${x}^{2} + bx + c = 0 \\ x _{1} + x_{2} = - b \\ x _{1} x_{2} = c$

${x}^{2} + 11x + 30 = 0 \\ x_{1} + x_{2} = - 11\\ x_{1} x_{2} = 30\\ x_{1} = - 6 \\ x_{2} = - 5$

5)

$y = \frac{5}{6} x + 13 \\ x = 0 \\ y = \frac{5}{6} \times 0 + 13 \\ y = 13$

( 0 ; 13 )

8)

$3 \sqrt{2} = \sqrt{2 \times {3}^{2} } = \sqrt{2 \times 9} = \sqrt{18} \\ \sqrt{16} < \sqrt{18} < \sqrt{25} \\ 4 < 3 \sqrt{2} < 5$

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