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Solve the equation 5x2 – 3x – 4 = 0 and give your answer correct to 3 significant figures:
We have 5x2 – 3x – 4 = 0
Here a = 5, b = – 3, c = – 4
x = `(-b ± sqrt(b^2 - 4ac))/(2a)`
= `(3 ± sqrt(9 + 4 xx 5 xx 4))/(2 xx 5)`
= `(3 ± sqrt(89))/(10)`
`x = (3 + 9.43)/(10) or x = (3 - 9.43)/(10)`
⇒ `x = (12.43)/(10) or x = (-6.43)/(10)`
⇒ x = 1.24 or x = -0.643.
Concept: Quadratic Equations
Is there an error in this question or solution?
Solve the following equation and give your answer correct to 3 significant figures: 5x² – 3x – 4 = 0
Consider the given equation
Using quadratic formula, we have
`x = (-b +- sqrt(b^2 - 4ac))/(2a)`
`=> x = (-(-3) +- sqrt((-3)^2 - 4 xx 5 xx (-4)))/(2 xx5)`
`=> x = (3 +- sqrt(9 + 80))/(2xx5)`
`=> x = (3 +- sqrt89)/10`
`=> x = 1.243 or x = -0.643`
Concept: Quadratic Equations
Is there an error in this question or solution?