Verified Answer :

  1. Step by step: 2x^2+5x-3=0
    factor the left side
    (2x-1)(x+3)=0
    set the factors to equal zero
    2x-1=0 and x+3=0
    x=1/2           x=-3

    23. Use same technique.
    3x^2-13x-10=0
    factor the left side once more
    (3x+2)(x-5)=0
    set factors to zero
    3x+2=0 and x-5=0
    x=-2/3          x=5

Her work is correct! :)