Question

а) 4x^2=9; б)7x^2-5x=0; в)2x^2-3x+5=0

Answer 1

а)
${4x}^{2} = 9 \\ {x}^{2} = \frac{9}{4} \\ x = \sqrt{ \frac{9}{4} } \\ x = \frac{3}{2} = 1 \frac{1}{2}$
б)
$7 {x}^{2} - 5x = 0 \\ x(7x - 5) = 0 \\ x = 0 \\ 7x - 5 = 0 \\ 7x = 5 \\ x = \frac{5}{7}$
в)
$2 {x}^{2} - 3x + 5 = 0 \\ d = {b}^{2} - 4 ac = 9 - 24 = - 15$
В последнем нет корней