# arrow_back Solve the equation $4 x^{2}-8 x-3=0$

47 views
Solve the equation $4 x^{2}-8 x-3=0$

$x=1+\frac{\sqrt{7}}{2} \text { or } x=1-\frac{\sqrt{7}}{2}$

Explanation:
$4 x^{2}-8 x-3=0$
Identify the coefficients
$a^{-4}, b=-8, c=-3$
Substiture the values into the quadratic formula
$x=\frac{-(-8)+\sqrt{(-8)^{2}-4 \times 4 \times(-3)}}{2 \times 4}$

by Gold Status
(30,445 points)

## Related questions

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
(a) Solve the equation: $x^{2}-9 x+8=0$ (b) Hence solve the equation: $y^{3}-9 y^{\frac{3}{2}}+8=0$
(a) Solve the equation: $x^{2}-9 x+8=0$ (b) Hence solve the equation: $y^{3}-9 y^{\frac{3}{2}}+8=0$(a) Solve the equation: $x^{2}-9 x+8=0$ (b) Hence solve the equation: $y^{3}-9 y^{\frac{3}{2}}+8=0$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve the equation $4 y^{2}-12 y+9=0$
Solve the equation $4 y^{2}-12 y+9=0$Solve the equation $4 y^{2}-12 y+9=0$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve $8^{x}=\frac{2^{56}-4^{26}}{30}$
Solve $8^{x}=\frac{2^{56}-4^{26}}{30}$Solve $8^{x}=\frac{2^{56}-4^{26}}{30}$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve $\frac{3 x^{2}+x-1}{1}+\frac{1}{3 x^{2}+x-3}=0$
Solve $\frac{3 x^{2}+x-1}{1}+\frac{1}{3 x^{2}+x-3}=0$Solve $\dfrac{3 x^{2}+x-1}{1}+\dfrac{1}{3 x^{2}+x-3}=0$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve the equation $3n+2=17$
Solve the equation $3n+2=17$Solve the equation $3n+2=17$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve the quadratic equation $3 x^{2}+2 x-8=0$
Solve the quadratic equation $3 x^{2}+2 x-8=0$Solve the quadratic equation $3 x^{2}+2 x-8=0$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve the linear equation: $3(x+2)-2(1-x)=4 x+5$
Solve the linear equation: $3(x+2)-2(1-x)=4 x+5$Solve the linear equation: $3(x+2)-2(1-x)=4 x+5$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve the linear equation: $-x-7=-3 x-9$
Solve the linear equation: $-x-7=-3 x-9$Solve the linear equation: $-x-7=-3 x-9$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve the quadratic equation $3x^2-10x+3=0$
Solve the quadratic equation $3x^2-10x+3=0$Solve the quadratic equation $3x^2-10x+3=0$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve the equation $\frac{1}{3}(1-x)^3=9$
Solve the equation $\frac{1}{3}(1-x)^3=9$Solve the equation $\frac{1}{3}(1-x)^3=9$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve the following quadratic equation by the square root property. $$(2 x-1)^{2}=9$$
Solve the following quadratic equation by the square root property. $$(2 x-1)^{2}=9$$Solve the following quadratic equation by the square root property. $$(2 x-1)^{2}=9$$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve the equation $8^{2 x-5}=2^{x+1}$
Solve the equation $8^{2 x-5}=2^{x+1}$Solve the equation $8^{2 x-5}=2^{x+1}$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve for $x$ in the quadratic equation $x^{2}+10 x+8=0$
Solve for $x$ in the quadratic equation $x^{2}+10 x+8=0$Solve for $x$ in the quadratic equation $x^{2}+10 x+8=0$ ...
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve for $y: 3 y-5=y+8$
Solve for $y: 3 y-5=y+8$Solve for $y: 3 y-5=y+8$ ...
Solve the linear equation $\frac{3 m}{4}+2 m=4 m-15$
Solve the linear equation $\frac{3 m}{4}+2 m=4 m-15$Solve the linear equation &nbsp;$\frac{3 m}{4}+2 m=4 m-15$ ...