Answer:
x = [tex]\frac{-1}{4} + \frac{1}{4} \sqrt{29}[/tex]
Step-by-step explanation:
For this equation: a=4, b=2, c=-7
4x²+2x+−7=0
Step 1: Use quadratic formula with a=4, b=2, c=-7.
x= [tex]\frac{-b + \sqrt{bx^{2}-4ac } }{2a}[/tex]
x = −(2)±√(2)2−4(4)(−7) ÷ 2(4)
x = −2±√116 ÷ 8
x = [tex]\frac{-1}{4} + \frac{1}{4} \sqrt{29}[/tex]
