Which of the following equations is true:
Solve the following system of equations in R.
2(x−6)<3x−7,11−2x<6−x
Which of the following are quadratic equations?(i)x2+6x−4=0 (ii)√3x2−2x+12=0(iii)x2+1x2=5(iv)x−3x=x2(v)2x2−√3x+9=0(vi)x2−2x−√x−5=0(vii)3x2−5x+9=x2−7x+3(viii)x+1x=1(ix)x2−3x=0(x)(x+1x)2=3(x+1x)+4(xi)(2x+1)(3x+2)=6(x−1)(x−2)(xii)x+1x=x2,x≠0(xiii)16x2−3=(2x+5)(5x−3)(xiv)(x+2)3=x3−4(xv)x(x+1)+8=(x÷2)(x−2)
Simplify each of the following as a single polynomial.
(i) (3x + 3) (3x + 2)
(ii) (3x − 4) (4x − 3)
(iii)
(iv)
(v)
(vi)
(vii)