Question

solve the following equation and give your answer correct 3 significant figure 5x^2-3x-4=0​

Answer 1

AnSwEr

${\tt{\red{\underline{\large{Given}}}}}$

• A quadratic polynomial
• 5x²-3x-4=0

${\sf{\green{\underline{\large{To\:find}}}}}$

• Roots of the Equation in three significant figure

${\sf{\pink{\underline{\Large{Explanation}}}}}$

$\tt\: Quadratic\:formula\dfrac{-b\pm\sqrt{d}}{2a}\\or$

$\tt\:D=b^2-4ac$

puttIng the value

Here a = 5 b= -3 and c = -4

D= b²-4ac

=>D=9+80

=>D=89

Here D=89

$\tt\: Quadratic\:formula\dfrac{-b\pm\sqrt{d}}{2a}$

$\tt\:X=\dfrac{5\pm\sqrt{89}}{10}$

Taking X as positive

$\tt\:X=\dfrac{5+\sqrt{57}}{10}$

=1.44339811

Taking X as Negative

$\tt\:X=\dfrac{5-\sqrt{57}}{10}$

=0.44898

Taking the value of X in 3 significant figure

X= 1.4430

X=4490