Answer:
A. x = -2, x = 1.25
Step-by-step explanation:
Use the quadratic formula
x = [tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
4x² + 3x - 10 = 0
a = 4
b = 3
c = - 10
x = [tex]\frac{-3+\sqrt{3^{2}-4x4(-10) } }{2x4}[/tex]
Simplify
Evaluate the exponent
x = [tex]\frac{-3+\sqrt{9-4x4(-10)} }{2x4}[/tex]
Multiply the numbers
x = [tex]\frac{-3+\sqrt{9+160} }{2x4}[/tex]
Add the numbers
x = [tex]\frac{-3+\sqrt{169} }{2x4}[/tex]
Evaluate the square root
x = [tex]\frac{-3+13}{2x4}[/tex]
Multiply the numbers
x = [tex]\frac{-3+13}{8}[/tex]
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x = [tex]\frac{-3+13}{8}[/tex]
x = [tex]\frac{-3-13}{8}[/tex]
Solve
Rearrange and isolate the variable to find each solution
x = - 2
x = 1.25
