How do you solve $4x^2 + x = 60$ ?

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Answer 1 · 2015-06-11T15:34:59

$color(green)( x=15/4 , x = -4$ are the solutions.

$4x^2 + x = 60$
$4x^2 + x - 60 = 0$

We can first factorise the expression and then find the solutions.

Factorising by splitting the middle term:

$4x^2 + x - 60 =4x^2 + (16x - 15x) - 60$

$= 4x(x + 4) - 15(x+4)$

$(x+4)$ is common to both terms.
$color(green)((4x-15)(x+4)$ is the factorised form.

Upon equating $x$ of both the terms with $0$ we can obtain the solution.
$color(green)( x=15/4 , x = -4$ are the solutions.

How do you solve 4x^2 + x = 604x^2 + x = 60?