Question

Solve 2x2 + 12x = 10

Answer 1

x is 0.5 as 2x2 is 4 so 10-4=6 so what number times by 12 makes 6 and it is 0.5

x=0.5

Answer 2

`2x^2+12x=10 \\ 2x^2+12x-10=0 \ \ |:2 \\ x^2+6x-5=0 \\ D=b^2-4ac=6^2-4*1*(-5)=36+20=56 \\ x_(1,2)= (-bб √(D) )/(2a) \\ \\ x_1= (-6- √(56) )/(2)= (-6- 2√(14) )/(2)=(2(-3- √(14)) )/(2)=-3- √(14) \\ \\ x_2= (-6+ √(56) )/(2)= (-6+ 2√(14) )/(2)=(2(-3+ √(14)) )/(2)=-3+ √(14)`