Question

Solve the following quadratic equation and give the
answer correct to two significant figures
4x² - 7x+2=0.​

Answer 1

Answer:

x = 1/4,x=2

Step-by-step explanation:

4x²-7x+2 =0

4x²-8x-x+2=0

4x(x-2) -1(x-2)=0

4x-1=0 , x-2=0

x= 1/4 , x= 2 ans

Answer 2

Notice :

____________________________

★ This question is from class 10th

★ Board = ICSE

____________________________

$\underline{ \boxed{ \sf{ \purple{Given \: quadratic \: equation \: is }}}}$

$\implies \sf4x² - 7x + 2 = 0$

Here,

$\implies \sf \: a = 4, b = -7, c = 2$

$\sf( Comparing \: with \: ax² + bx + c = 0 )$

$\implies \sf \: x = \frac{7 \:± \sqrt{49 - 32} }{8}$

$\implies \sf\frac{7± \sqrt{17} }{8}$

$\implies \sf \: x = \frac{7 \: ± \: 4.12}{8}$

$\sf \: Taking \: ( + ve ) \: sign$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: x = \frac{11.2}{8} = 1.4$

$\sf \: Taking \: ( - ve ) \: sign$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: x = \frac{2.88}{8} = 0.36$