Question

If f(x) = 4x2 - 2x + 5 and g(x) = 7x2 – x + 3 and f(x) = g(x) then find the value of x .

Answer 1

Answer:

x=2/3 or -1

Step-by-step explanation:

• f(x)=4x²-2x+5
• g(x)=7x²-x+3
• now, f(x)=g(x),
• 4x²-2x+5=7x²-x+3
• 3x²+x-2=0
• $x = \frac{ - 1 + or - \sqrt{ {1}^{2} - (4)( - 2)(3) }}{6}$
• $x = \frac{ - 1 + or - \sqrt{25} }{6}$
• $x = \frac{ - 1 + 5}{6} or \frac{ - 1 - 5}{6}$
• $so ..x = \frac{4}{6} or \frac{ - 6}{ 6}$
• $x = \frac{2}{3} or - 1(ans.)$
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