What add up to -29 but multiples to 48

Question

I'm stuck I need to factor this equation 4g^2-29g+48

Answer 1

The correct solution must take into account the coefficient of g².

You can use the quadratic formula: g=(29±√(29²-4×4×48))/8,

g=(29±√(841-768))/8=(29±√73)/8=(29+√73)/8=4.693 and (29-√73)/8=2.557 approx.

Approximate factorisation is 4(g-4.693)(g-2.557)

4×4.693×2.557=48 (approx); 4(4.693+2.557)=29.