Answer: X = ([tex]-\frac{5}{4}\\[/tex], 6)
Step-by-step explanation:
x(4x - 19) = 30
4x^2 - 19x = 30
4x^2 - 19x - 30 = 0
ax^2 + bx + c = 0
[tex]X{1}=[/tex] [tex]\frac{-b+\sqrt{b^{2} -4ac}}{2a}\\[/tex]= [tex]\frac{19+\sqrt{(-19)^{2} -4(4)(-30)}}{2(4)}\\[/tex] = 6
[tex]X{2}=[/tex] [tex]\frac{-b-\sqrt{b^{2} -4ac}}{2a}\\[/tex]=[tex]\frac{19-\sqrt{(-19)^{2} -4(4)(-30)}}{2(4)}\\[/tex]= [tex]-\frac{5}{4}[/tex] = -1.25
X = ([tex]-\frac{5}{4}\\[/tex], 6)
