Answer:
0 or b/a
Step-by-step explanation:
ax² = bx
Subtract bx from both sides:
ax² − bx = 0
Factor out x:
x (ax − b) = 0
x = 0
or
ax − b = 0
ax = b
x = b/a
Answer:
x = 0 or b/a
Step-by-step explanation:
ax² = bx
Subtract bx from each side
ax² - bx = 0
Factor the quadratic
x(ax - b) = 0
Apply the zero product rule
x = 0 ax - b = 0
ax = b
x = b/a
Check:
[tex]\begin{array}{rclcrcl}a(0)^{2} & = & b(0) & \qquad & a\left ( \dfrac{b}{a} \right)^{2} & =&b \left ( \dfrac{b}{a}\right )\\\\0 & = & 0 & \qquad & \dfrac{b^{2}}{a} & =&\dfrac{b^{2}}{a}\\\\\end{array}[/tex]
OK.
