Browse · MATH Print → jmc algebra intermediate Problem Find the positive real number x such that ⌊x⌋⋅x=70. Express x as a decimal. Solution — click to reveal Knowing that ⌊x⌋≤x<⌊x⌋+1, we see that ⌊x⌋ must be 8, since 8⋅8≤70<9⋅9.Now we see that ⌊x⌋⋅x=8x=70, so x=870=8.75. Final answer 8.75 ← Previous problem Next problem →